The answer to this lies not within the French Revolution, but within the War of 1812. It's true that many Federalists sided with the British over the French, mostly due to the X, Y, Z Affair, but they continued offering presidential candidates through 1812. The Federalists initially fell from power because of divisions over how John Adams handled the French and British issues of the late-1790s. Many favored war, but he managed to avoid war, which was necessary for the young republic. Federalists offered Adams in 1800, but he lost to the Democratic-Republicans due to the divisions in his own party. Federalists were weakened by the election of 1800, but not out yet. With the disastrous Embargo Act of 1807, some regained seats, but they offered Charles Pinckney in 1808, who lost to James Madison. Gradually, the Democratic-Republicans began adopting some of the main Federalist ideas, ie, a strong national government, large navy and army, etc, which further weakened the party. Their final undoing came after peace was struck with Britain in 1814-1815. A group of Federalists wanted to secede, again, which was seen as horribly unpatriotic with the wave of nationalism that followed the peace treaty. The Federalists vanished from the scene, leaving the Democratic Republicans to later divide and create the Democratic Party. Hope I was some help.