Sam,
There are people I have heard of who go to YU/Stern who are not religious, so I would not take the bet that nobody at yu doesnt think secular studies are more important that torah studies
that being said, They should be commended for taking such students, many might not have a jewish education before and it is a risk of doing Kiruv that you might let some students in. I doubt very many if any Charedi schools (Except Chabad , maybe) would let someone in if they were not religous and not throw them out if they declared themselved OTD, which YU keeps in the hope they will return