I don't understand why someone would bring up that being right-wing does not make one a nazi unless they were right-wing and felt like the type of person who is at risk of being called a nazi.

That being said, in reference to your commenr: in America it is as you say. Elsewhere in the world it's a bit more complicated. Left and Right originally referred to the sides of the French National Assembly, who either supported the king or the revolution. In some uses it just means people who support liberal economics (more funding) or conservative economics (less debt).

Most people would agree that communism is a left-wing ideology, but there have been famous communist leaders that were racist, mass-murdering and/or with superiority complexes (the famous examples of Che Guevara, Mao, Stalin and Pol Pot all fit some of those criteria each).