Kosovo "independence" just means yet another European war in which NATO shouts at Russia and Russia shouts back at NATO while lots of people in the Balkans get shot.
Historically, this is fairly typical behavior for the Europeans, but this particular juncture would see France attempt to sabotage NATO in favor of the EU Defense Forces, as that would increase France's global standing while getting the U.S. out of many European matters...
...which is precisely why France is calling for the EU arms embargo against China to be lifted next month, as France wants China to serve as an anti-U.S. counter-weight should NATO fracture as Chirac desires.
1. The war's already been fought. The Serbs lost.
2. The Russians don't care enough to do anything about it other than posture before selling their erstwhile allies down the river.
3. The French overestimate their influence and capabilities. I see no reason to do the same.
At least that's the way I see things.