The parallels seem pretty obvious, especially when you see Neil Patrick Harris' costume near the end of the film:
Has there ever been any official word? And is there more that I've missed?
I'd just like to point out that I'm specifically asking about the movie and not the book. Also, I found this on the film's wiki page:
The film included visual allusions to propaganda films such as Why We Fight, Triumph of the Will and wartime newsreels. The symbols, and certain clothing styles, of the Federation are modeled on those of the Nazis (e.g., windbreaker, suits, cap, etc.; moreover, the military intelligence officers' uniforms bear a striking similarity to those of the Allgemeine-SS). The satire was embedded in action sequences with special effects.
But costume modeling aside, is there any word on the official Starship Troopers movie timeline on the outcome of World War 2?