Weeeeeell. Keep in mind. Africa and Asia, IIRC, are still fighting openly. Insurgencies in Europe and America, and the fact that Blaskowitz and co can drop nukes on the Nazis? It's very possible that we end up seeing key Nazi points getting nuked, the Ausmerzer in the hands of Kreisau Circle as it is, and what about, as the Nazis are more and more under pressure, advanced aircraft being stolen by other insurgencies? I think "Nazis hold central Europe" is less likely than "Central Europe goes up in nuclear fire, and becomes a post-apoc hellscape as the Nazis reap what they've sown".
In any case, no. I don't expect a happy ending for the world. The victory over the Nazis will be a Pyrrhic one. There have already been four nuclear detonations. I expect the Nazis will use more before the end, as will BJ.
New York, Deathhead's compound, Roswell, New Orleans. And how many nukes does the Eva's hammer have left? More than a few, I suspect, given its size.