I'm doubting you're even aware of what Social Darwinism is.
Social Darwinism - The application of Darwinism to the study of human society, specifically a theory in sociology that individuals or groups achieve advantage over others as the result of genetic or biological superiority.
Social Darwinism is a sociological and political theory that dictates that certain troops, individuals, races are biologically and genetically superior than their adversaries. The concept was created to explain the differences in appearance, culture and perceived intelligence of the different racial troops; that consisting of Europeans, Asians, American Natives, Africans and lastly Australian Aboriginals, in that order if I remember correctly. As well as to justify racial policies. The theory was essentially a perversion of the theory of evolution.
The Axis' (specifically Germany) envisage to regulate the world does not prove anything. Besides, it was an act of eugenics, artificial selection through controlled breeding to escalate the occurrence of desirable hereditary traits; that being blonde hair and blue eyes. It was as well an attempt to eradicate the unfavored, the Jews. The Holocaust was an act of mass artificial selection and the venture to conquer does suggest the evolutionary principle "survival to the fittest", however, neither acts definitively prove there's an inferior or superior troop, that Social Darwinism is indeed true.
The entire genetic and biological foundation of Social Darwinism has been debunked by modern science anyways. Social Darwinism is quite thankfully dead.