I think will start to rise up, but crumble as various countries start losing their soveriegn powers. Especially those countries in Eastern Europe. France and Germany will be seen as oppressors and there will start to be fissures in the EU.
I do not believe Europe is as stable as we wish it to be.
But the concept of what they're doing with the EU is more or less the same concept as that of a United States of America. Texas and California are still here, even if some people do view them as oppressors. Basically, the benefits of a common currency and freedom of movement outweight the restrictions of a central government. Just my opinion, though.