After AvX to me the X-Men divide even more.
Uncanny X-Men






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Cyclops, Emma, Namor, Magneto, Danger, Colossus, Magik
Wolverine and the X-Men:












Wolverine, Kitty, Beast, Rogue, Iceman, Husk, Chamber, Marvel Girl, Cecilia Reyes, Karma, Cannonball, Northstar
(after AvX all the children are at the school)
X-Men







Storm, Gambit, Frenzy, Psylocke, Warpath, Nightcrawler (AoA), Dazzler
X-Force (Basically doing what the New Mutants do right now)
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Moonstar, X-Man, Blink, Sunspot, Meltdown, Warlock, Magma, Wolfsbane
X-Factor
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Madrox, Strong Guy, Layla Miller, Havok, Polaris, Banshee, M, Longshot, Rictor, Shatterstar
So my thoughts are this.. during AvX Wolverine's X-Force is outed and separates, but Storm realizes the X-Men should be doing what Logan was doing, so she leaves Utopia, and gathers like minded mutants, except they won't kill.
Hope will have died, and without the mutant messiah none of the kids feel "safe" on Utopia and go to Wolverine's School. Before dieing she is able to restart some mutations, and re-ignite the X-Gene. Dani Moonstar receives her powers back, and in the year gap for unknown reasons Doug and Warlock join together.
X-Factor is now back to being a government run team, that splits into two squads when needed.
Cyclops still believes his way is right, and fights to protect mutantkind with his "extinction team" the X-club is still active. Mutants not shown in the rosters will come and go through Utopia/Uncanny X-Men.
Dani and her squad while still based in SF, travel the world finding things the X-men forgot.
Wolverine is only a part of the school, no longer an Avenger, as mutant/human relations are at an all time low.