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Well, no not really. But let's see...
The US Declaration of Independence includes the phrase "Governments are instituted among Men, deriving their just powers from the unanimous consent of the governed..." As a result, Albert Gallatin manages to handwave and scotchtape his way into dismantling the Constitution and reinstating the Articles of Congress in 1794. Then the Libertopia field turns off, and the USA has to deal with it's lack of central government like a grown-up country. What happens next?
(Alternately, if that POD doesn't work for you, the US never gets off the AoC in the first place.)