The reason why the British intervenes in Haiti is mainly because they are a long term enemy of France, which was Great Britain's allies. The invasion of the European people in the Haitian land lead into a Haitian Revolutionary War (which was for anti-slavery and anti-colonial.)
The election of 1800 marked an election (the 4th US election) when the presidential control shifted to a different political party, and it was an advance in democracy.
The United States will now be able to Export Natural Gas to nations that have a demand for Natural Gas, resulting in economic gain. This is opposed to France, who without Natural Gas supplies will now have to rely on importing from the U.S and other Natural Gas exporters.
In short, the U.S can make money off their natural resource, whereas France cannot and instead would have to spend by importing Natural Gas.
