>

Conservatives need an "enemy" to fear to motivate their base, and in the aftermath of 9/11, radical Islamists and Muslims in general fit the bill nicely. Before the fall of the Soviet Union, Communists were the preferred boogeymen. In the absence of any foreign threat, conservatives turn to liberals and Democrats in general as the targets of their ire.
As other commenters have noted, the War on Terror is a thing of the past, so the Right needed a new adversary. So the "woke" agenda, trans people and the progressive Left are their new targets.
COVID may have also played a role where it was a massive global event that took attention away [...] Plus America no longer being involved in Iraq or Afghanistan and the news cycle eager to move on from those topics. 

I think you're overthinking things a little, what you've said here basically sums it up. The War on Terror, both as an actual conflict and as a cultural phenomenon, is essentially over. 9/11 itself is gradually fading out of the collective consciousness and into the history books. There are now voting-age adults for whom it's a historical event that happened nearly half a decade before they were born. Throughout the 2000s and 2010s there was ongoing fighting in the Middle East, and in Western countries there were serious terrorist attacks every few years: the Madrid train bombings, the 7/7 bombings, the Boston Marathon bombing, the Paris attacks and the other attacks across Europe in 2015, etc. It was enough to keep terrorism firmly in the public consciousness, and obviously bred ongoing fear and hatred.
But in the past few years, that has no longer been the case. Osama bin Laden is long dead, ISIS was pretty decisively defeated, and the capabilities of jihadist groups in general have been severely degraded by the more recent US strategy of whack-a-mole precision strikes and special forces operations combined with supporting friendly local forces. They're not gone, but the threat of terrorism is genuinely significantly reduced. Then Covid arrived, and "these unprecedented times" made the whole world forget about pretty much anything else. Then the US withdrew from Afghanistan, ending the "forever war" that had begun as a direct response to the events of September 11, 2001. Finally, I think the Russian invasion of Ukraine was the final push consigning the War on Terror to the history books. Western militaries and the Western public are now firmly focused on the potential for conventional war with Russia, and to a lesser extent China. If jihadists somehow manage to pull off another major terror attack that could change again, but I think the likelihood of that is rather low.
To more directly answer your question, prejudice and anti-Islamic sentiment obviously still exists and I don't think the association of Islam with terrorism will ever completely go away – after all, decades later people still make references to Nazism when talking about Germany. But I think you're right that hostility towards Muslims, by Republicans or anyone else, is not going to be a primary focus for the foreseeable future. Things might be different in Europe, though, where immigration from Muslim countries is a much more contentious topic on its own. >

Right now the "trans means you are grooming kids and you're a left wing pedo" boogeyman is running their narrative. >

From what I've seen, they are still a target of hate, but they're not mentioned as often.  I also suspect that the anti-muslim hate peaked well before 2012, I'd expect it to be highest right after 9/11 really.  Checking the FBI hate crimes data might be a better metric.
What it mostly amounts to is there's been fewer major Islamic terror attacks on the US recently; and the US is doing less fighting against Islamic groups worldwide at the moment.  When there's fewer dead americans, it's hard to get as much hate, or at least harder to score electoral points by targeting the 'enemy'.  A new attack, or a new war vs an Islamic foe, would bring back much of the hate.  This shouldn't be surprising; there's a strong recency bias in how people think and in particular how they fear.  There's simply less fear for things which happened quite awhile ago and are'nt occurring as much lately. >

Saudi Arabia is financing the Right's takeover of the government. The Right loves Muslims who are shoveling mountains of money at them.  I think they used the words, 'bought and paid for' to describe their relationship with the previous administration.  The Saudis have become very adept at using their money to corrupt numerous corridors of power all around the world. >

Republicans are hard for hating on trans people right now.  Don't worry, they will swing back around to muslims again soon enough. >

Wait till they find out that there are transgender muslims.  That would be the personification of all that they want to hate in our modern social climate. >

Iran actually has nothing against transgenderism. The government there has gender confirmation surgery. >

Before you go praising the government though, wait until you find out why they're doing that.... >

...because they think that's their true gender. Boohoo non-whites kicked whites out of their land, get over it. >

There was no social media machine pushing hatred of muslims in the same way that hostile foreign governments have been pushing hatred of the left. >

The right needs an enemy to promote its  platform of hate and fear, but public dynamics change, so the enemy has to change. Muslims, immigrants, gays and trans, minorities, and of course, the always handy "Democrats hate America" when nothing else is causing a stir. >

Right now, in my eyes, that hate that the republicans want, and need is the Transgender community.  They want to invoke that fear and hatred that someone will turn your boy into a girl, or turn your girl into a boy.  That your child will get brainwashed and pick a new gender.  They want to feed on that hate in this moment.  That is their new enemy. >

Right Wing Hatred is something you hear about on the internet, media, and social media and linked to the fringe extremists; painting it as an entirely right wing hatred is silly. Yes, it exists, but it's a small fraction of the reality portrayed by the media  The reality is most Americans on the right aren't too worried about hating other people.  However as you do suggest, as both parties shift further away from each other, I do think angst among normal people is shifting toward the other side of the aisle, but that is not limited to the right. >

Republican Voters simply outsource their hatred and malevolence for their elected officials to carry out instead.
Nowadays you don't join the Klan, you just vote for the guy who joined the Klan - >

Really?
Who was the last Klan member elected? >

Well, let's see who voted against the Respect for Marriage Act which protects Same-Sex and Interracial Marriage, both things the Ku Klux Klan famously venomously hated.
NAYS:

Aderholt
Allen
Amodei
Arrington
Babin
Baird
Balderson
Banks
Barr
Bentz
Bergman
Bice (OK)
Biggs
Bilirakis
Bishop (NC)
Boebert
Bost
Brooks
Buchanan
Buck
Bucshon
Budd
Burchett
Burgess
Carl
Carter (GA)
Carter (TX)
Cawthorn
Chabot
Cline
Cloud
Clyde
Cole
Comer
Conway
Crawford
Crenshaw
Davidson
DesJarlais
Diaz-Balart
Donalds
Duncan
Dunn
Ellzey
Estes
Fallon
Feenstra
Ferguson
Finstad
Fischbach
Fitzgerald
Fleischmann
Flood
Flores
Foxx
Franklin, C. Scott
Fulcher
Gaetz
Gibbs
Gohmert
Good (VA)
Gooden (TX)
Gosar
Granger
Graves (LA)
Graves (MO)
Green (TN)
Greene (GA)
Griffith
Grothman
Guest
Guthrie
Harris
Harshbarger
Hartzler
Hern
Herrell
Hice (GA)
Higgins (LA)
Hill
Hudson
Huizenga
Jackson
Johnson (LA)
Johnson (OH)
Johnson (SD)
Jordan
Joyce (PA)
Keller
Kelly (MS)
Kelly (PA)
Kim (CA)
Kustoff
LaHood
LaMalfa
Lamborn
Latta
LaTurner
Lesko
Letlow
Long
Loudermilk
Lucas
Luetkemeyer
Mann
Massie
Mast
McCarthy
McCaul
McClain
McClintock
McHenry
McKinley
Meuser
Miller (IL)
Miller (WV)
Moolenaar
Mooney
Moore (AL)
Mullin
Murphy (NC)
Nehls
Norman
Palazzo
Palmer
Pence
Perry
Pfluger
Posey
Reschenthaler
Rodgers (WA)
Rogers (AL)
Rogers (KY)
Rose
Rosendale
Rouzer
Roy
Rutherford
Salazar
Scalise
Schweikert
Scott, Austin
Sempolinski
Sessions
Smith (MO)
Smith (NE)
Smith (NJ)
Smucker
Spartz
Stauber
Steel
Steube
Taylor
Tenney
Thompson (PA)
Tiffany
Timmons
Van Drew
Van Duyne
Walberg
Weber (TX)
Webster (FL)
Wenstrup
Westerman
Williams (TX)
Wilson (SC)
Wittman
Womack
Yakym

Would you look at that, every single one of them is a Republican.
How peculiar. Republicans overwhelmingly vote exactly how Ku Klux Klan members would vote. 
Isn't that just the darndest thing? >

This is how you get someone who supports domestic terrorism to stop responding. >

According to the FBI's hate crime statistics, Anti-Islamic hate crimes have always been a relatively small share of hate crime. Over the last decade ten times as many anti-black hate crimes have been documented as anti-Muslim ones, for example. These ratios between groups targeted tend to not change very dramatically.
Is there less anti-Islamic rhetoric in right wing media? Yeah, anecdotally I would say so. Has this meaningfully changed the type of situation Muslims actually face? Not really, going by documented hate crimes. >

Same as the right wing hatred of black people still there just quieted down. >

Has it?
My neighborhood is still lousy with those flags.
And whenever another unarmed black person is killed by police, the reflexive cries of "s/he was no saint!" ring out just the same. >

The ire from whites differs, during 2015 muslims were hitting back against them and Syrian refugees were trying to get into europe, so obviously whites are gonna have a problem with another race of people living amongst them and definitely fighting back against them. Right now I'd say the ire of whites is I'd say mostly focused on blacks and the LGBT+. Granted, they still hate non-whites and the lgbt+ at all times, but I'm saying right now they've cooled it on the arab hatred since arabs aren't in the news as much. >

The right wings hatred is aimed at the ‘other’ Americans. This means democrats, moderates and any non hardcore conservatives.
Muslims stopped being a the target of their hatred once the democratic president with the Muslim-y name and the Muslim-y skin color left.
As soon as he was out they were 💯 fine with Muslims and even the Taliban. Trump made deals with the Taliban and even wanted to invite them to camp David.
Not one right winger gave a shit. Not one.