That may or may not be true about creationism. I don't think you are right about "fixed types," though. More here. But not being either a biologist or a theologian, Hitler mixed up concepts without much regard to theoretical consistency.
Hitler said an animal of one type would always be that type in Mein Kamph. Kamph
But such guilt by association is nonsense, I felt obliged to point out the reality in response to the all too typical attempt at revisionists history equating evolution with nazis.