dig deeper, dig deeper this time

Do any of you have any intel on the nature of Jesuit universities/colleges? I have a cousin who'll start college year after next, and she's looking for a city school in the Great Lakes area. Both Loyola and DePaul are good geographic options, but we're concerned about dropping her into a politically conservative environment - and about financially supporting a religious institution. Thoughts? Opinions? Anecdata? What actually happens when religious institutions sponsor educational ones?