Anyone who thinks Europe would be on the brink of war without the EU is really much too clueless to even be considered. Sorry. I can really only echo Franzl and Johan in this thread.
Gustaf's 100% right on this...and I say that as someone that supports the EU anyway. (Mainly out of my dislike of the nation-state itself) Europe isn't going back to war. (Note: this statement includes the Balkans, but I stand ready to redefine it to not include the Balkans)
The Balkans is a good example of why forcing countries into unions without popular support is not a good idea if you want peace.
After all, 95%+ of all wars in the world are civil wars. And most conflicts end when unions are broken up (Scandinavia, Balkans, Czechoslovakia, etc)
Are you now trying to predict that the EU will lead to a pan-european civil war?
Nope, I think the risk of war in Western Europe is very low either way. But if anything, the risk is greater with the EU, for two reasons:
1. It creates unnecessary conflicts over policy - look at the relation between Greece and Germany right now, for instance.
2. It undermines European democracy, and since democracy is the best insurance against war that is probably also negative from the perspective of peace.
Of course, the idea of European countries going to war today is pretty absurd. I do think Sweden is more likely to be dragged into some silly display of European power because of our EU membership.