How did the French Revolution create problems for the United States?

When
the French Revolution began in 1789, the US was supportive.  The French Revolution began with a
lot of the same ideals, enlightened thought, and drive as the American Revolution.  Unlike the
American Revolution, the French Revolutionaries became increasingly more radical with political
ideologies and liberalism as the revolution progressed.  The US became more neutral to the
French at this point.  Despite radicalism ending with the end of the Reign of Terror, the US
stayed cautiously neutral towards the French.

Once Napoleon took charge at
the tail end of the French Revolution, he began fighting many wars with other European
monarchies in order to spread French political influence and dominance throughout Europe.  In
order to finance these wars, because a growing rebellion in the highly profitable Haitian colony
was preventing profits from reaching France, Napoleon sold off the large plot of French land in
North America to the Americas.  This was the Louisiana Purchase.

Let's fast
forward to the War of 1812.  Napoleon and the British were fighting each other, and each were
trading with the United States.  In order to negatively impact the other's economy, both Britain
and France attempted to blockade trade between its enemy and the United States, thrusting the
United States into the middle of war.  This culminated with the War of 1812.

To recap: the French Revolution was supported initially by
the Americans, but as the French became increasingly liberal and revolutionary, the Americans
decided to remain neutral.  Because the Americans had trading relationships with both France and
Britain, when Napoleon went to war against Britain, the Americans became a focal point for the
conflict.  This led to increased tensions between the British, French, and Americans, and
erupted in a territorial conflict in America, known as the War of 1812.