Do some Nazis today consider themselves to be white supremacists?

The two seem to be inexorably linked. Whenever I watch TV shows or read books/articles/websites about Neo-Nazis or white supremacists, they all seem to share the same belief system: that anyone who isn't white and Protestant (or at LEAST Catholic) is dirty and evil.

Like, whenever I watch shows about white supremacist groups, they always make a lot of anti-Semitic remarks as well. And whenever I watch shows about Neo-Nazis, they always make a lot of racist remarks as well. White supremacists and Neo-Nazis don't just get along; they're basically all the same people.