Yes I guess nazis were the "most popular fascist nation".
Interestingly there were alot of themes in nazi ideology that could almost be considered left-wing.
They believed in the dignity of the German working class man for example and that the Jewish people represented big business and were a corruption on society etc.
Indeed. Their socialist program was left-wing... But it was socialism only for the people they considered actually people. That'd be the key difference between Nazi beliefs and any modern democratic socialism.
New-Left/Progressives are influenced by Carl Schmitt and his views on power that the Right also draws from. It's one of the key distinctions from Liberals who reject him entirely.