An impossibility under capitalism, as the Eurozone crisis illustrates pretty well. There are two possible futures for Europe at this point: renewed imperialist rivalries in the wake of a total collapse of the European Union leading to total devastation of the continent, or the establishment of a socialist United States of Europe.
I highly doubt that say Germany and France are going to go to war with each other even with a complete meltdown of the EU: NATO would still exist and two generations of cultural and economic integration aren't going to be reversed.
That said, I'll join chorus about the need for Eurofederalism after World War 2 and colonialism. Possibly the United States should have pushed for an integrated Western bloc as a whole rather than just a federal Europe.
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