So while it may be a problem (though I'm skeptical), it's not the problem I was discussing. Academia rightfully tries to hold itself to the standard of free inquiry (if in good faith), but Google and Harvard have no such obligation, even to themselves. I think we probably disagree on whether there should be such an obligation.
And isn't Harvard academia? Isn't Google in a position to restrict free inquiry both inside and outside academia?
Perhaps we do disagree about whether there should be an obligation to allow free expression. You may have found its restriction temporarily comfortable; perhaps you're even glad that people who disagree with you weren't allowed to speak in those cases. But the backlash against such restriction helped lead to the election of Trump. When we abandon liberal values we return to the chaos of no-holds-barred fights for power.
So I don't think there's a direct causal connection, and in fact it could also be said that results from social sciences have influenced the political climate in turn, though the education system. It's clearly a dialectical relationship.
Harvard may be academia, but I got the impression you were talking about people being ejected not for coming out with a paper that challenges the orthodoxies of social justice (of which there are many, just yesterday I read part of a PhD which argued that many forms of hate speech should not be restricted in a liberal state) but rather something else outside of the academic process.
I can't say I'm very much in favour of liberalism in general, and I don't think that restrictions on some speech lead to tyranny as it's frequently alleged they would. One need not be a trusting citizen to hold this position, and I see no reason why the state (or an organization, of course) should not be very opinionated about what it allows and what it does not. The question "what if they start banning the kind of things you say?" is a moot point when I'm not arguing for such a ban. Just as any restriction on speech might be uncomfortable for you, only some are uncomfortable for me. You will protest when Harvard starts kicking people out for left-wing or right-wing views, but I'll only protest when they start kicking people out for left-wing views. I make no secret of this bias, and I think the obsession with being as abstract and neutral in general has taken a lot of force out of arguments for how we ought to run society.
And you claim "the orthodoxy of patriarchy is not one of them"?
I find it hard to believe you aren't familiar with stories from Google, CERN, Harvard, etc, etc where people were driven out for questioning the theory that patriarchy is solely responsible for the differences in careers between men and women.