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I think what would happen instead is a regression to a smaller federal government and more power granted to State governments. A sort of "soft" balkanization, so to speak. This would create a quarantine for corruption as less federal influence would mean less effect of federal corruption. Likewise, corrupt states would have less influence on non corrupt states. It would also allow for greater diversity of governance in the United States.
As for the EU, it's a bad joke. The European nations hate each other, and some of the worst wars in humanity's history have been fought amongst them. So naturally, as we're currently seeing, letting these nations appoint unelected officials in order to write rules for each other isn't working out. There's no secret to why Brittan decided to leave. I can't imagine the EU lasting for more twenty-five years. The only reason they haven't outright dissolved already is a collective fear of Russia.