Not quite. The attack from ships against French Canadian militiamen at their settlements was a mistake instigated by an ignorant member of Congress, but that foolishness was reversed.
There were several important, long standing issues that rather needed to be settled with the British and what they were doing to U.S. colonies (kidnapping American men to enslave them on British ships, for one, British-planned and advised guerrilla attacks from Indian nations, for another). The War of 1812 went on into 1815 with increasingly more violent battles in U.S. colonies. Eventually, U.S. ships blockaded the English Channel. The U.S.A. won against the British.
It was really the second round of the American Revolution. Some Canadian militias defended their settlements from attempts of Americans to dismount from their ships and attack very well, but revisionism by uses of fallacies stinks.
Not quite. In effect, America sided with the dictator Napoleon.