I haven't been in college in over 20+ years so I don't really know how campuses are now. I went to a really left leaning college, where there was a higher value placed on free speech than being politically correct. Conservatives were in the minority, but I remember lively conversations with one of them, and it was civil. The CIA was allowed to recruit at the campus. However the students were allowed to protest by lying down on the steps in front of the building. Conservative speakers and entertainers were invited to campus. But they were booed when they said unpopular remarks. I didn't see any censorship.
Personally while colleges are hotbeds of politics (at least they were when I attended) in general I don't think professors should be making personal statements either way. It may be unavoidable in some classes I am thinking (political science, history), but the main thing is to make students think and present multiple sides, not push one's own personal views.
What is going on today, I guess I would have to view each incident case by case.
I looked up for my alma mater, and they celebrate "banned book week". They do have this regulation prohibiting: "an expression of hostility against a person, group, or property thereof because of such person’s (or group’s) identifying or perceived race, color, religion, ancestry, national origin, disability, gender, gender identity or expression, and/or sexual orientation." Do you consider that censorship, or the ability of a private institution to provide a non-hostile learning environment to students from all over the US and many many countries?