Hitler could have risen to power basing his politics on general nationalism and comunist treath, or rather some other hipotetical dictator with some other nacionalist party, could of, but the fack was hitler was mental, and in his worldview the whole arangement of warious pseudoscientific racisms and purist doctrines, as well as just simple old pop antisemitism, held an almoust religious meaning, not to mention the influences of the 1920-1930 german cult scene, from wich that whole "mistical" part of nacism was inbred
probbably a more mussoliny styled fashist party, more down to earth and concentrated on basics and realpolitics, or perhaps a simple military rezime, would not see the point in the frantic effort to maintain industrialised scale mass murder of its own citisens, especially with a war going on, and being short on resourse suplies and workforce, but still rasism and especially antisemitism was so rooted in german culture, and central-european culture in general, any fashist german gowerment would have been antisemitic one way or the other ewen if olnly unofficially so, althou it would trully take someone as mentally disturbed and socially imparedas hitler to start an actual extermination campaing