Ever talked to someone from Harvard? (they'll usually tell you in the first 4 minutes you meet them telling you they went to school in Boston). They admit quite a number of conservative people if that's what you're worried about, and even their more left people are pretty center-right, as in they really don't want to pay more taxes.
> they could always expand the size of their enrollment
Really the feds could (and imo should) force them to do so, given a ton of their money come from federal grants. It's always been insane to me that private schools can receive 50k+ per grad student from my taxes, knowing that most people will never get in. Also insane how the elite UCs for example educates more people than the entire ivy league combined.