I think it's important to point out that many colleges and universities are "religious" but do not push their belief systems onto their students. Boston College and Georgetown University are both Catholic schools. Boston University and Duke University are both Methodist schools. All of these schools are quite tolerant of their student's personal religious beliefs. It's not their religiousness that is at issue. It's the degree to which the religious beliefs of the school are rolled into the rest of the curriculum. Occasionally students are required to sign onto some type of spiritual/behavioral pledge in order to enroll. I've linked to one below. Clearly in these sorts of situations the student can fully expect that the religious beliefs of the school will be integrated into the curriculum in a definitive, non-debatable manner.
https://policy.byu.edu/view/index.php?p=26
https://policy.byu.edu/view/index.php?p=26