Heres an example: Bari Weiss was fired for commissioning an op-ed by a US Senator Tom Cotton calling for the national guard to be called in to break up riots. Note that she did not write the essay, but merely commissioned it. They sometimes have op-eds from varying voices. NY Times apologized and said "This review made clear that a rushed editorial process led to the publication of an Op-Ed that did not meet our standards"
Pretty extreme view sending in the national guard, right? Except according to a poll around that time, 52% of Americans answered yes to "Do you approve or disapprove of sending in the U.S. military where there are violent protests?" So obviously that op-ed wasn't a fringe belief, but it was enough to end the career of the person responsible to bring it to print, in addition to apologies and a commitment to never do anything like that again.
Being critical of sometimes violent disruptive protests is a view that has been highly suppressed.
https://en.wikipedia.org/wiki/Bari_Weiss#2017%E2%80%932020:_...
https://www.nytimes.com/2020/06/03/opinion/tom-cotton-protes...
https://abcnews.go.com/Politics/52-americans-support-deployi...