From America Magazine - The Church and the University:
"What is the relationship of the Catholic university to the local bishop? No relationship? Someone who occasionally offers Mass on campus? Someone who sits on the platform at graduation? Or is the bishop the teacher in the diocese, responsible for souls, including the souls of students—in this case, the students at Notre Dame? Does the responsibility of the bishop to teach, to govern and to sanctify end at the gate of the university?"
Something I read not too long ago--in an introduction by Joseph Cardinal Ratzinger to a book about the Charismatic Renewal (can't remember the title, as I've only so far read the introduction)--went something like this: If you are living in union with the Holy Spirit, then you are also living in union with the Church, who is also living in union with the Holy Spirit. We must, therefore, continually turn to the Church in order to determine whether or not we are, in fact, following the Holy Spirit or something else.
I urge you to read this entire article, and really take in what Bishop D'Arcy is saying here.