I don't know. I put those ideas down 30 minutes ago and they still feel like the problem that I mentioned above -> X-Characters only seem to exist for writers, and then go away once writers jump on the title and want to do their own version of "Kitty Pryde" or "Wolverine", or take on ersatz "Kitty Prydes" and "Wolverines", or create combinations of those characters they liked as kids. Deadpool is, after all, "What if Spider-Man mixed with Wolverine" and Cable is "What if Punisher had ALL the guns."
I think what made the X-Men special was that Giant Sized X-Men took away all the old Mutants and gave us new Mutants. I think the only way you could have a newish team is to do what Claremont did: wipe the slate clean of all the First and Second Generation teams, put your new team in place (made up of old and new) and then slowly put back the First and Second over the course of many years.
That's how the Bendis Avengers worked really well initially. People had all new avengers and waited to see what happened to all the older ones that eventually came back into the books.
Could you do that to the X-Books? Wipe the slate clean with the intended rule that you could not feature any of the First Generation X-Men (Cyclops and the Crew) or Second Generation (Storm's Team up through to the X-Genesis changeover with the Adjetiveless X-Men and the first X-Factor). The rule would be, "If Claremont wrote them on his first run of X-Men, they cannot be in a title for at least two years."
Would that work to refreshen the X-line? Almost a clean reboot that wipes the decks of the 1970s-1990s X-Men, leaving it open for a lot of the secondary characters to be in the forefront. What would those teams look like?
If Marvel were in the position it was in the early 1970s, perhaps. And that position was "utterly desperate." In 1975, the X-Men had been a dead concept for about 4.5 years. Between 1970 and 1975, the characters made the rare guest or cameo appearance in other books, but there really was no new product. The series was just reprinting Stan & Jack's old stories.
In order for history to repeat, Marvel would have to cancel the entire mutant line of books for several years. And nuh uh-- no movies either.
Purely by chance (and the talent of the creative staff--duh), the totally new characters struck a chord with readers. This would also have to happen again for something like this to reoccur.
But I also don't think history could repeat because the universe is so big compared to 1975.