Not familiar with the story you cite. However, if Britain had fallen shortly after France, as it easily could have, things would have been very difficult for the US.
Especially if the Germans had gotten control of both the French and British navies.
I think we would still have won, but the war would have been much longer and bloodier. Quite possibly the American public would have flinched from the task, allowing our enemies to build up their forces for the final inevitable conflict.
North America versus the rest of the world could only end one way.
Well, the story is exactly what you described. The result? America's Atlantic Carrier fleet grows even bigger. It's 1947 before the war ends. And it ends with the B-36's (with a special mod, prop + jet engines) dropping 100+ nukes (1945-1947 was busy for the nuclear industry) on Germany.