On the other hand, if being anti-indoctrination is the goal, it might be a good idea to turn the same lens toward universities that see an oversized volume of alumni participating in the defense industry, something seen as pro-American (albeit against many of the criteria you list off). Historically, some universities have been extremely fond of propaganda in this regard, going as far as to creating direct pipelines from school to participation, like Caltech's participation in the V-12 program, JPL, or Project Vista.

If that isn't indoctrination, I'm not sure what is.

Indoctrination isn't bad, and students should be able to have a choice between whether they want to get indoctrinated by the types of people who created the nuclear bomb, if they want to get indoctrinated by hippies, or if they want to get indoctrinated by a church-funded university.

Education is inherently ideological, and the market is really leaning toward hippie faculty at the moment. Allowing market forces to do what they will seems fine. It'll come back around eventually, and in the meantime, state school kids are doing what prestigious university students are too good for. Look at Anduril, which is far more impressive a defense achievement than anything that's come out of Caltech since before you were a student.