This is crazy...
First off, why the heck would Flash ever grab Cyclops' visor? It looks pretty? Why would Superman run and deck everyone at superspeed? Or Wonder Woman? Have they ever done that? Ever? Flash *may*be... but the other people with high cruise speeds (Supes, Wondy, MM, GL) tend not to be so quick on the draw or impulsive... that's how heroes get killed...
So with a 'real' fight... we've got Flash out the gate... making himself the first target... he has three 'thought seconds' before he mysteriously falls asleep between Professor X, Phoenix, Psylocke and White Queen, depending on who's there.
As for Batman vs Wolverine. Has Batman *ever* met anyone that he couldn't keep up with hand to hand? has he *ever*met anyone who beat him with some minor powers? (Healing, animal senses)... ever? As for Wolvie... have you ever seen him immobilized by gas? Or electricity? Or any number of non-lethal attacks? Slowed, weakened, yes, but immobilized? Beaten? Wolverine vs Batman is the most even fight ever conceived of in comics. Neither of them ever lose... EVER. Not even a little bit and both of them have taken on speedsters, flying tanks and psionics and come out on top. It's an even fight if I ever saw one... it's just a popularity contest.
Strengthwise, no one's standing up to Superman's punches, or wonder woman's for that matter... that's where the JLA's real strenghts lie... and the fact that they move a bit faster, even when not at top speed... Cyclops can take out Aquaman or Green Arrow, but Superman can actually take those mountain levelling blasts while wonderwoman can probably deflect them! Bishop has nothing to fear from GL's blasts... but GL will eventually get smart and lock the guy down... the X-Men have such wild and wonderful and powerful talents that the JLA's meager creatvity can't really stand up to it... Cyclops's beams can stand up to Superman's, but Superman flies and is invulnerable...
That's why the JLA wins this fight, because, after a few rounds of getting surprised and hit and manipulated, they will begin pushing themselves... bring out that 'hands that can fuse coal into diamonds' strength and that 'Hermes? Oh, I thought you were *fast*...' speed and the X-Men take the fall... even Phoenix can't match with a Green Lantern in full stride, much less an A+ one like John, Kyle or Hal. Even the impressive powers of Xavier and Phoenix can't bore through the Martian Manhunters' elite practiced mental defenses, AND Superman's, AND Flash's super-quick brain, AND GL's willpower...