In some aspects you are right, but you should actually brush up your history of communism. A lot of people know that the Rotschilds were "also" Brits. 
You are also right about the difference between about anti-semitism and anti-zionism.  Yet initially as I said before, a lot of people sympathized  with the new Jewish state of Israel, precisely because it offered a solution to anti-semitism and its dire consequences. There is a lot you don't know about why certain things have occurred and why. It is true that it is unfair to discriminate against Jews just because  Israel's policies, but there is a lot in the background that people who only read about the "official versions" in the "not-so-biased" media.