Actually, the result would be that Bush would have a difficult time convincing the UN to let him atack Europe, and wouldn't dare risk a unilateral operation, given how Iraq alone had a good chance of costing him the election, and face it, he'd have a hard time impressing the US populace by saying he'd captured Jacques Chirac, given that very few in the US know who he is, among other things...
...So, I might say that the whole conflic would be resolved in a scuffle in the UN headquarters. I'm not sure who would come out on top, but I'd pay a good bit to be able to watch!
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Nes digs around in the trash can.
Nes finds a hamburger!
Nes puts the hamburger in his backpack.
Wake up, George Lucas... The Matrix has you...