The Third Reich would have imploded within decades of winning WWII. The whole society and economy was geared to warfare and could not survive without it.
Just a note on comparison's of Hitler to Nietszche. These often arise because both men were great users of the terms
ubermensch and
untermensch. They did not have the same meaning. While Hitler used these terms in a racial context, Nietszche used them to describe individuals who had either broken away from the slave mentality that he attributed to Christian society, or to describe those who could not do this. While reading Nietzsche, especially
Thus Spoke Zarathustra, the reader may see some germs of Hitler's later ideas, but this was not Nietzches intent, and the man himself showed no sign of sympathising with the views Hitler held three decades after his death.
It is ironic that in his lifetime, Nietzsche was intellectually associated with anarchist movements, and it was in this context that attempts were made to ban his work in the 1890s. As well as having a small influence on Nazi thought, Nietzsche has been a mojor influence on intellectuals such as Sartre, Camus, Derrida, Heidegger and Foucault. Other fans of Nietzsche include de Gaulle, Mussolini, Theodore Roosevelt, Theodore Herzl and Richard Nixon. All in all, a widely read philosopher, interpreted in various ways by all sides of the political spectrum. I tend to feel his branding as a proto-fascist is unfair and based on very narrow interpretations of some his work... but you probably guessed that

MODS: My apologies in advance for straying into political territory, I just wanted to make the point about Nietzsche not being a fascist. Please delete the relevant section of the post if you feel I have overstepped the mark.
Thanks
BT