What is the "Mission" of a Catholic Law School?

Notre Dame law professor Rick Garnett, posting over at Vox Nova, asks the question "What is the "mission" of a Catholic Law School?":

... As a rule, we would say, among other things, that there are dozens of faculty and each would likely express and live out the “thing” in different ways. Fair enough. But, what else? Some affirmations of the importance of community, collegiality, social-justice, etc., were also appropriate, and regularly provided. We talked some about how a Catholic law school’s mission finds natural expression in indisciplinary work (that is, “interdisciplinarity” is not, on the Catholic understanding of a university’s work, a fad or an add-on; it’s a natural, necessary feature of the search for truth.) And, I emphasized, as I usually do in these conversations, my view that a Catholic law school should call its students and faculty to “integration.”

But . . . what else is needed? What else should be said? I’ve been teaching at a Catholic law school for nine years, blogging about “Catholic legal theory” for nearly five, and have talked to dozens and dozens of potential hires. I know — I just know – there’s more to the “mission” of an authentically, meaningfully Catholic law school than what I usually manage to articulate, and I feel like I’m not doing right by those who say, “that sounds interesting, even attractive . . . what does it mean?”

I like the one answer he's received so far:

Here is the rub. ‘Integration’, ‘interdisciplinarity’, and the ’search for truth’ are all good things, but there is nothing specifically ‘Catholic’ about them. Unless our mission statements also include the words ‘Christ’ and ‘Church’, the label ‘Catholic’ will seem inappropriate.