1776 makes it easy to at least keep it going a little longer. I did this in my
Washington Wins at Brandywine TL. With the REvolution over a few years early, French support wasn't as important as far as reognition, and so Britain versus France wasn't one of the big hangups - the Federalists evolved into something more like OTL's Whigs, while the D-R morphed into more like OTL's Democrats of the same period.
Now in my TL, becasue the Constitution is worked on in 1781, the Carolinas and Georgia leave, so there isn't the slavery issue, so it's probably easier for the U.S. to keep that system longer. It's hard to to keep the party system the same way beyond a TTL Civil War, if there is one, and there almost surely will be one if the Deep South is around. (In mine, Washington, Adams, and Jefferson are shifted 6 years earlier, but due to problems with France and Jefferson being too much of a pacifist in face of French aggression, he is a one-term President. Jay, a Federalist, wins a war against France and S
ain with Britain on the U.S side, then a treasy lets the U.S. keep New Orleans and other gains on the Continent itself, the U.S. "buys" Louisiana after having captured some int he war, etc.. Not officially a member of the Second Coalition but definitely taking advantage. After Madison serve 2 terms and another President 1, Clay wins 2 terms as a Federalist, who ahave become OTL's Whigs with internal improvements, etc.)
I stop in the 1840s, but if I were to continue, the U.S. - which abolishes slavery as of 1850 - will probably see expansion as an important thing, both in size and economy. Would TTL's Federalists (OTL Whigs) become more of a "global power" party, whereas the Democrats are more isolationist? POssibly, it's hard to to take it out really far in such a scenario.