You should read TLS's profile of NDLS. The only reason I'm still posting in here is because I feel like you are over exaggerating the extent to which Catholic doctrine penetrates the Law School.
Religion and Politics
Some non-Catholics, atheists, and agnostics are apprehensive about attending the nation’s most famously Catholic university. While the proportions of Catholic students and faculty have declined in recent decades, Notre Dame still stresses its religious roots and mission. Social politics in line with Catholic doctrine are also prominent. But according to NDLS students on TLS, non-Catholics need not fear being isolated or ostracized. One “Double Domer” (someone who attended Notre Dame for undergrad and law school) who is “not religious at all” reports:
Religion doesn't play a role at all in the first year courses, except that some professors do the sign of the cross before class and there is a crucifix in every classroom….I’ve been here for four years and I’ve never had a problem with the religious environment. I think it makes us distinctive, which I actually like despite the fact I've never really participated in it. I don't believe the religious aspect should be a huge part of the decision making process, unless it is positive for you.[vii]
Another student advises potential worriers:
For virtually all non-Catholics at Notre Dame, it's never been an issue. You let the 10-second prayer at the start of a few professors' class roll past. You won't even know when or where weekly mass is. You will never set foot in the chapel in the law school. You just live your life and accept that there might be people of faith taking their faith seriously around you.[viii]
Still another, addressing the political side of things, writes:
You'd actually be surprised at the range of views and events they have—a month or so ago, they had LGBT awareness week at the law school with speakers all week, which was extremely well-attended, [including] a con law professor talking about gay marriage and the first openly gay judge in Illinois talking about his experiences (and openly criticizing the Catholic Church and its stance on homosexuality to boot). I've had one professor who prayed before one class, but it was a small seminar class and the only class he prayed before was the last class of the semester, which he had at his house as a semi-Christmas party/discussion. Don't worry; there are definitely people who think like you.[ix]
To be sure, Catholicism is a constant part of life at NDLS, and law school candidates who are particularly uncomfortable with public displays of religiosity may want to look elsewhere. But on the whole, non-Catholics should not write off Notre Dame if it is a good fit along most dimensions.
I wouldn't have a problem with anything you said if you didn't say it in such an arrogant and matter-of-fact manner. That being said, go to Minnesota.