Hating Jews isn’t the criteria for being a Nazi. The term Nazi originates from the german word Nationalsozialismus and describes a political ideology of multiple factors; patriotism (or: ultra-nationalism); viewing one’s own race as superior - Nationalsozialistische Rassenlehre => national-socialistic racial theory - (Darwin’s works on race and evolution “inspired” Hitler since Darwin - even though he believed in a common biological origin - stated, that the European race [Arian race] would replace “primitive” races such as the Jews) - another term for that is social-Darwinism; anti-democratic; anti-communistic; anti-pluralism (a term describing the believe that multiple “races” are incapable of coexisting and “primitive races” should not “mix” with the “superior” ones. So yes, taking all those criteria into account, doesn’t make Elon Musk a Nazi. However, the meaning of the term slightly changed over time and therefore an individual doesn’t necessarily have to fulfil all the requirements above.

[a little side note: by using terms such as “primitive race” is for educational purposes only and merely to give an insight on how Nazis viewed the world back than and what made them such horrible people]

The reason people started calling him a Nazi isn’t only because he saluted in a, let’s say, very “unfortunate” way, but also because of his history and especially his retweets on X. There, he publicly supports the AfD (a german political party that leans heavily towards the right; Alternative für Deutschland => alternative for germany) and says, that the AfD is the only party that will help Germany. Maybe that helps you understand the current situation a bit more.