Same values, I beg to differ. The values of a Greek and of a German could be completely different as far as you know. Connected Markets? The EU has become a tariff-heavy zone, the opposite of a Free Market - look at how many trade agreements we have to regulate and impeach free markets. And the TPP, with the blessing of most EU members (in secret).
There's no recipe to avoid war, but political stability is certainly correlated with economic prosperity. The EU is not making this happen, so we should see it slowly desintegrate.
Depend which values you are talking about but Greek signed European Convention on Human Rights, there is a LOT of values written there if you ask me which those countries you mention share.
> Connected Markets? The EU has become a tariff-heavy zone, the opposite of a Free Market - look at how many trade agreements we have to regulate and impeach free markets.
It's not true for most products, but some indeed are regulated because if you have 28 different countries you need to control some of the segments of markets or your country/other countries will suffer, that's why you have for example limits for milk producing etc. Show my any organization exactly like EU which doesn't regulate their common market.
> There's no recipe to avoid war
For sure there is no 100% certain recipe to avoid war but nothing was created closer to that recipe than EU. I live in country that was transformed from communism to democracy in 1989, trust me it can be a lot worse than it's now in EU, you can't imagine.
In case you have a short memory, before the EU there was the League of Nations between WW1 and WW2, to ensure wars would never happen again in Europe (and elsewhere). It did not work out too well.
The fact that we did not get any war in Europe after WW2 has really nothing to do with the EU being there or not. If anything, war did not break out because we were too busy preventing the Cold War from exploding in Europe and having Russia invade or coup every other country, like they did in the whole Eastern part of Europe.