WW2 wasn't caused by white supremacy, it was caused by nationalism. It was part of the Reich's propaganda to say that they were waging war against the jews (and socialists and communists…), but they were doing this because they though that Germany was superior to its neighbor and was fit to conquer and rule them.
I think Germany could have probably managed some form of German-supremacist propaganda, instead of Aryan. It might have even worked better strategically if they managed to avoid driving away / killing a large portion of their engineers and scientists.
Also please be aware that you will see terms like "white" supremacy be used in these discussions instead of more appropriate terms like "Aryan" to make the topic easier to approach for an American audience.
I believe that's what is called "a distinction without a difference".
You can argue that whatever your local xenophobic hatreds you have going on aren't technically white supremacy, because you have different historical and cultural understandings of race etc, but at the end of the day, your hating haters sure seem to hate basically the same people as our hating haters, so I'm not sure why it's worth arguing about the distinction between the two groups.
This is pretty much the point i tried to make... that there is no huge difference and it is totally fine to simplify to "white" in communities like these. But re-reading my comment, i can now see how it can be seen as nit-picking instead of approving of this idea.
