They'd tell you they are liberation theologists first. The Jesuits are not Catholic in my opinion and Notre Dame has not been for a long long time. I canceled my Catholic Herald Citizen subscription probably at least 20 yrs. ago because the carried the ramblings of Fr. McBride( I think that was his name) a pro abort puke from Notre Dame.
I believe you are thinking of Fr. Richard McBrien, some time head of what passes for a theology department at Notre Dame (or Northwest Indiana Humanist University as my bishop has called it). McBrien, originally incardinated in the Archdiocese of Hartford, Connecticut, was the actual author of Mario Cuomo's speech which was delivered at ND to explain how supporting abortion is an allegedly Catholic thing to do. McBrien is a diocesan priest, either of Hartford or of Fort Wayne-South Bend. He isn't getting any younger and the window of opportunity to defrock him, excommunicate him and, ummmm, allow the rest of his ecclesiastical sentence to be carried out by the TTGC may close if Church authorities don't act soon.
We could make it a two stake ceremony by involving Jenkins as well or three stakes by including the superior of the Holy Cross Fathers or four by including former San Francisco (where else?) Archbishop John Quinn who is the one and only "Catholic" bishop rising to the defense of Jenkins and of the Illinois Antichrist's appearance at ND. Or four thousand by including..... Well, you get the picture.
As to the Jesuits (who do not run Notre Dame and never have), they are certainly no longer Catholic but they were still Catholic when they educated me a couple of centuries ago or so it seems).