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The left-wing atmosphere of the academy is anecdotally well known, but it's apparently been studied. To the extent I'm a leftist, I'm a "problematic" one, so this troubles me also. Video links to citations and while mainly focusing on the social sciences, mentions the humanities. Note the self-reported proclamation by academics that they would overwhelmingly discriminate against equally qualified known conservative job candidates.
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That was an interesting video. It was good they went into some actual surveys and research. Personally, I think one should look into most sociological and psychological research before accepting it. There is so much ideological nonsense posing as scientific findings in these areas.
I think a good rule of thumb, also, is to distrust any statistic quoted by exponents of identity politics, especially feminists.