Actually no. Yeah, Hitler and other Nazis often made rather superficial appeals to evolution, in general though these were in support of militarism, and of the desirability of "struggle," and of the destiny of Aryans to rule over lesser races. But I've yet to find, by any Nazi, any specific elaboration of racial theory -- e.g. why, for instance, Aryans were "natural" militarists, conquers and slave masters -- in terms of any sort of evolutionary theory.
In fact Nazi race theory was based on creationism, although it was admittedly a mystical sort of creationism that wouldn't appeal much to your typical fundamentalist.
Read Alfred Rosenberg's Myth of the Twentieth Century. This was the most complete statement of Nazi race theory, and was the second most important work in the Nazi cannon after Hitler's Mein Kampf. You can find the full text online, although you might have to go to a racist website to do so. (IOW it remains an important and influential work among ideological racists.)
Rosenberg asserts that the various races were originally created with distinct and very different "race souls". (He appears not to have believed in individual souls.) The Aryan "soul" was, like all race souls, carried in "the blood". It had been diluted by race mixing, which of course was a plot of the Jews who knew that the destiny of the Aryan race was to rule over them and the other races.
The whole point of Nazi race policy was to restore the original created order: to restore the purity of the blood and thereby the purity of the racial soul. This had nothing to do with evolution, but to the extent you can put it in those terms the purpose of the Nazis was not to advance evolution, but to reverse it.
You miss my point here, Stultis. The fundamental claim of the Nazi ideologists was that man could decide, respecting his fellow men, who was "fit" and who was not. And therefore, what living beings were privileged to continue in a living state, and which were not. Whatever "excuse" the Fascist makes to support his claim -- the recovery of a "lost" Eden, the construction of a perfect utopia in spacetime reality, whatever -- is almost entirely beside the point. That's the PR angle designed to smokescreen the reality that is actually taking place, to give it an ersatz "justification." At this level of description of the problem, you are looking at pure B.S....
The only way to justify such a scheme of things is on the basis of power: We might say "species" power. For Hitler's theory of racial superiority rested on the consensus of a "favored species," determining the fate of the lesser-favored species effectively at its whim. The notion of "survival of the fittest" excuse was paramount, even if shall we say not evident from first principles.
If I might make a suggestion: You depend too much on the surface appearance of things. Maybe you need to be looking a little deeper? FWIW.