I wrote this in a post 4-5 years ago, but ND is not as stuck in the mud as many here believe.
They evolve, perhaps at a slower rate than we (the ACC) would like.
Remember, Notre Dame for 40+ years, eschewed all bowl invitations. That changed.
Remember, Notre Dame would not allow 5th-year players. That has changed in practice (if not title).
Remember, Notre Dame once played on a grass field with Touchdown Jesus in full view. No longer.
Remember, Notre Dame once proudly made no academic concessions for football players. Lou Holtz changed that.
Remember, Notre Dame once distanced itself from Miami and Michigan. They've played Miami (even before the ACC agreement) and their Michigan series has been sporadically revived.
ND basketball was once independent. Not any more.
Remember, Notre Dame was once a true independent. Now they already play 5 games against the ACC annually.
Notre Dame is justifiably proud of its traditions, status and standing within the CFB community. They are a power broker. But they are not as insular. They change. They always have, just at a more deliberate pace.
Otherwise, if they don't change, those traditions ... that status ... their standing will erode over time.
And they would not like that.