If the U.S. was to take over entire nations (either one piece at a time, or gradually), which way is the more likely way to go?
Canada is far less populated than Mexico, but I can't see the Americans upsetting the British aside from the ARW and the War of 1812 (though I don't see how they could have managed to conquer Canada then...).
Mexico had been brought down several times, most dramatically in the U.S.-Mexican War, but they declined to annex the whole place because of the drastic effects on internal issues.
So which place would have been more likely to go?
Canada is far less populated than Mexico, but I can't see the Americans upsetting the British aside from the ARW and the War of 1812 (though I don't see how they could have managed to conquer Canada then...).
Mexico had been brought down several times, most dramatically in the U.S.-Mexican War, but they declined to annex the whole place because of the drastic effects on internal issues.
So which place would have been more likely to go?