White Phoenix Jean Grey vs. Legion - WPOTC erases Legion from the timeline.
Shaman X-man vs. "God-like" Cable - Shaman Nate wins.
Hope Summers (with TK) vs. Psi-Lord Franklin Richards - Franklin wins. Has Hope even done much with her TK so far?
Emma Frost vs. Moondragon - Telepathic Battle. Current Moondragon gets humiliated by Emma. Classic one wins handily.
Psylocke vs. Justice - Telekinetic Battle. Justice. Psylocke's TK isn't all that impressive these days.
Exodus vs. Stryfe - TK/TP Battle. Theoretically, Stryfe should be the more powerful one, but Exodus is more skilled, and can feed off the ambient psionic energy, so he'd be getting stronger as the battle draws on.
Xorn vs Alpha the Ultimate Mutant - Telekinetic Battle. Don't know much about Alpha. But from what I've heard, he's supposed to be extremely strong.
Phoenix Rachel Summers vs Hyperstorm - all Psionic powers Battle. Probably Hyperstorm. Rachel's not the brightest bulb in the box.
As for team battle, I have to go with Team 1. WPOTC wins it for them.