I would go further than that. As I recall, in Mein Kampf, Hitler laid out the expectation that the next stage of the Third Reich, to be carried out by his successor after Europe was pacified, was to make war on the United States to establish global domination. Given that Hitler more or less actually did the stuff he wrote that he was going to until he was stopped, it seems reasonable to conclude that the alternative to US/Allies v. Germany in Europe was US v. Germany/puppets in North America a decade or two later.