NAZI = National Socialist.
Would actually imply a leftist ideology.
Though I will give you the Nazi Party obviously engaged in far right tactics.
Did you know Albert Einstein accused the Zionist Party of resembling the Nazi Party?
A man who fled Europe as Jew, speaking out against far right Jewish extremism?
https://archive.org/details/AlbertEinsteinLetterToTheNewYorkTimes.December41948
TO THE EDITORS OF NEW YORK TIMES:
"Among the most disturbing political phenomena of our times is the emergence in the newly created state of Israel of the "Freedom Party" (Tnuat Haherut), a political party closely akin in its organization, methods, political philosophy and social appeal to the Nazi and Fascist parties. It was formed out of the membership and following of the former Irgun Zvai Leumi, a terrorist, right-wing, chauvinist organization in Palestine."
Surely you would not call Albert Einstein an anti semite for speaking out against Israel?