Good concept, and a lot of good points, but this one is actually partly true.

It is a hotbed of liberalism with many people afraid not to utter anything but lefty ideas. You could argue that this was a good thing because lefty ideas are the good ideas, but not that this isn't what academia has turned into for the most part.

The faculty, at least of top institutions, are extremely liberal compared to the country as a whole, with some fields having immense disparities (evidence: https://www.nas.org/academic-questions/31/2/homogenous_the_political_affiliations_of_elite_liberal_arts_college_faculty).

This doesn't, however, seem to exert a strong indoctrination effect. The research that's been done on this indicates a modest leftward shift based on peer group effects, but not faculty: https://www.cambridge.org/core/journals/ps-political-science-and-politics/article/abs/why-college-students-drift-left-the-stability-of-political-identity-and-relative-malleability-of-issue-positions-among-college-students/9569B67D693BBE6A2CDC42292A3237B7#.X5EoUIbQOGc.twitter.

It does, however, exert a significant silencing effect: https://www.insidehighered.com/news/2022/06/02/survey-college-students-still-dont-feel-free-speak-campus.

So this one isn't dreadfully far off the mark.

The rest of your points--yeah, pretty much on target, sadly.