Wolverine with the Phoenix Force, would in my opinion win this considering the following.
1)His healing factor and feral senses would be enhanced to cosmic level.
2) his knowlege experience and skills would give him a serious edge.
3) he consistently faces and often beats foes who are physically stronger/faster than him, ie hulk, quicksilver, northstar, spiderman, colossus, jugernaught.
4) In addition Phoenix Force Wolverine had the powers of Jean Grey, Telepathy and Telekinesis this would not only make him mentally superior but also allow him to buff his speed strength durbility reflexes perceptional and cognetive speed much like cable does.