Thanks for explaining. More specifics:
The University (and many other universities) has been engaging in overtly illegal discrimination on the basis of sex, race, and creed in hiring, grants, and I'm sure many other areas. There were many job postings where the CVs of white men were never looked at, because of their skin color and sex. There were many grant-funded opportunities (often federally-funded) where a white man, or a man, or a straight person would not have a chance because of those characteristics. Oh, and I should mention "diversity statements", now called "belonging statements". These are political tests: regardless of your skin color and genitals, if you don't sing the right political song you have no chance. This was a first line assessment at many places (e.g., UC Berkeley). This was all overt in that it was openly talked about, people would send emails to the effect "this job opening must go to a brown woman", etc. People generally, somehow, even Americans, didn't understand it was illegal. I would be greeted with quizzical looks if I enlightened them! (in casual conversation, of course, never officially!). This is all for hiring and similar. Students are different, and since the end of affirmative action Harvard has been still doing everything it can to continue discriminating against e.g. East Asians and Whites, which is of course illegal.
You risked losing your job for expressing an uncool belief (e.g., Carole Hooven: https://www.mindingthecampus.org/2024/02/15/carole-hooven-wh...). Of course, they will try to force you to resign before actually firing you, which would leave open the possibility of legal problems. This may be a sort of "why not, it's a small thing, just say it" to a chemist, but to an endocrinologist or social scientist it can be intolerable.
Compelled speech was on the table, too, which is a bright line we have so far, as a society, have managed not to cross. Harvard and other elite universities were crossing it, and the Biden admin's Title IX rules overtly crossed it (by forcing you to use someone's preferred pronouns). A bad look, to put it mildly.