In 1812, Latin America was trying to get independence from Spain.
What is Madison satisfied the war hawks by declaring war on Spain, instead of the much more powerful British, to get the territory west and south of the United States, as opposed to the north? Since we know Spain lost all of its territories on the American continent, getting the U.S. to help the rebels would be even worse for them. Instead of Mexico getting independence, that entire territory would be ceded to the United States.
How would things progress now?