And sadly neither is Notre Dame, if people want to go to a real Catholic college I highly recommend Steubenville, wish I would have gone there.
Personally, I see a significant difference on this between Notre Dame, where despite its many well-known faults there is a substantial effort to be Catholic school on the part of many students, alumni and faculty, and the Jesuit universities like Boston College and Georgetown which, it seems to me at least, are much further along towards being completely non-Catholic in any meaningful sense. I realize that others may disagree. Notre Dame has a much higher percentage of self-identified Catholic students (approx. 85%) than Boston College (70%) or Georgetown (51%). Granted, comparison with these and other Jesuit institutions is damning with faint praise. All that said, I think Christendom College and Thomas Aquinas and Steubenville and the others identified above are all great and I don’t doubt that they are doing a much better job of providing a Catholic education.
Also, many traditional Catholics are high regards to Ave Maria college in Florida...