Federalist Victory in 1812?

DeWitt Clinton, a former Democrat-Republican adopted by the Federalists as a vote-winner, did better than any Federalist since John Adams in 1812, although the electoral vote wasn't particularly tight. His defeat was pretty much the moment where the Federalists jumped the shark; from there, it was all downhill, leading to the Era of Good Feelings (simplifying).

But what if Clinton had won? A badly-prosecuted War of 1812 is a good point of departure, capitalising on dissent against Madison. Greater division in the Democratic-Republican Party, perhaps in the party's base on the Atlantic seaboard, could have contributed votes to the Federalists.

How would a Federalist administration differ from what actually transpired, and how would this affect the development of the party system?
 
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