Despite the problems in the Eurozone, the majority of Europeans support it and the EU.

This statement seems doubtful, at least for the worst affected members of the Eurozone like Greece and Spain. These countries are unlikely to welcome any more transfer of power and decision-making to Brussels, in light of their recent experiences.

I doubt they want more examples of being dictated national policy by the creditors and net-payers of the EU, like Germany, the Netherlands, and Scandinavia. These countries in turn have shouldered a gigantic burden of debt, which, in case of Greece will most likely never be repaid in full.

My personal opinion is that the EU needs to support itself more and rely less upon the US.

That notion has been preached by EU politicians and bureaucrats for decades, with very few positive results. Joined procurement projects like the A400M, Eurofighter, and NH90 helicopter suffer from cost overruns, endless delays, and numerous deficiencies.

The lasting peace brought about in this same area is, however, a triumph of the European system, especially when compared to the failure of the US to control Iraq and Afghanistan.

The failure in Afghanistan was shared by European nations via ISAAF, which also showed, once again, their lack of military capabilities and political commitment. As the GIs put it: ISAAF = I saw American army fight.

As for that alleged "triumph" in Yugoslavia, aren't you forgetting that it only happened after armed US involvement via NATO? Before that, EU peace efforts were a dismal failure.

The adoption of the Euro was a radical move, not without its problems, but one that has arguably been better for the continent than a continuation of national currencies.

To put it politely, you are whistling in the dark here. The adoption of the Eurozone in its present form was the greatest political mistake in Europe since the second world war. Its failure was anticipated by eminent economists, and happened as predicted.