One thing I'd add to this is that there's a standard leftist pathology which idolizes youth and being "bright".
There's a lot of pretty well known stereotypes about the '50s, '60s, '70s, '80s, and '90s, but if in hindsight we have the collective self-awareness to articulate a stereotype about the last 25 years, it's that internet influencers of the time period all tried for the same basic persona. It's a way of acting I have seen countless times from countless different faces, best embodied in the "Vlog Brothers" (don't know if they still call themselves that lol).
If I were to try to describe it in one sentence, it's a sort of superficial witticism and book-smartness which to the left signals that this person isn't an old, close-minded (re: conservative) square. This is something that's taken to be the exclusive domain of the young because the young are the perennial friends and vanguard of the revolution, because their generation is uniquely bright enough to recognize capitalism = bad, billionaires = greedy, and dekulakization = good.
Whoops, I've gone off on a tangent. Anyway, these are the cultural values engrained in leftists from youth. Instead of asking "How do I make good money" or "What contributions of material value can I make to the world through my labor", they ask "I'm smart, so what smart person career do I belong in?". As a result, leftists go disproportionately for careers in academia, since it's the archetypal smart person job. When the institutions become left-dominated this fact reinforces itself, yes, but I think even if you solved the problem in the short term it'd just happen again later because the left will always be the camp sending its people to colonize this sphere of authority.