But, it would take truly dire straits for Congress to even consider such an obviously unpopular idea. And those dire straits would have a much harder time arriving in the U.S. than the EU.
Cypress (and Greece, and Italy, etc) is in such big trouble because they cannot print their own currency. The U.S. can always bail out its banks because it can create as many dollars as it needs. In fact this is what happened a few years ago, and why the U.S. financial system is currently in better shape than the EU.
The flaws in the EU concept have been laid bare by this financial crisis. When you have financial consolidation without political consolidation, you get unelected bureaucrats deciding to take 10% of the bank accounts in one member nation, and there's nothing that population can do about it. In the U.S., the threat of getting voted out office is a powerful restraint on the governent's eagerness to levy shocking new taxes.