Varieties of criticism
Conservative criticism has nothing much to do with "left-wing" or "right-wing", because left-wing people are often very conservative, in the defined sense, while right-wing people can also be very radical, in the defined sense. The difference between "radical" and "conservative" has more to do with the belief in whether "a change to something genuinely new" is really possible and necessary. Radicals typically believe strongly that such change is highly desirable and necessary, and that it can be achieved. Their criticism is that there is "not enough" change. Conservative critics, by contrast, are very skeptical about any such change, because they feel the change is really "just another form" of something that already exists.
Conservatism in the United States
On social issues, many religious conservatives oppose changes in traditional moral standards regarding sexuality and gender roles. They oppose abortion, same-sex marriage and anti-discrimination laws against homosexuals. The libertarian faction tends to ignore these issues, instead focusing on fiscal and monetary policy. Business-oriented conservatives oppose the social conservatives if state laws limiting gay rights threaten to hurt business. The "National Review" reported in 2016 that, "as evangelical forces have become less unified...the influence of Right-leaning business groups such as the Chamber of Commerce has only grown." In the culture war of recent decades, multiculturalism has been a flashpoint, especially regarding the humanities curriculum. Historian Peter N. Stearns finds a polarization since the 1960s between conservatives, who believe that the humanities express eternal truths that should be taught, and those who think that the humanities curriculum should be tailored to demonstrate diversity. Generally conservatism opposes the "identity politics" associated with multiculturalism, and supports individualism. In campus battles, progressives demand "Cultural diversity" while conservatives denounce efforts to impose "political correctness" and stifle free speech.