You are entirely erroneous, you quote me a leftist propaganda mill and claim it a definition??? Nazi's were leftists, "socialists" enforcing socialism. They greatly admired, and took much inspiration from democrat party, and its rabidly racist doctrinal organizing principles! Democrats refused to enter WWII against Nazi Germany, and that only changed upon Imperial Japan's attack upon Pearl Harbor!
The sole role model for the modern pejorative use of the word Nazi, was Nazi Germany and they were not right wingers, not remotely so, they were socialist, I suggest that you go google up the acronym "NAZI" and see how it was arrived at, what it stood for???
Democrats, the close allies of Nazi Germany within the United States both before and just prior to Pearl Harbor, have ruthlessly obfuscated those facts ever since, applying word pejoratively to conservative America, and any right wing governments on earth, when in point of fact, they are the Nazis, and they always have been, which has proven itself nearly diabolical as it successfully sucked in America's Nazi party's greatest victims as its most relied upon electoral base of support, Blacks!
Ukrainians came to the defense of Nazi Germany, they greeted invading German Nazi's as liberators, Ukrainians served in Hitlers SS and helped to significantly staff his death camps as guards, with many many Jews meeting their ends at the hands of Ukrainians at the gas houses! Other's flocking to the Nazi cause were Muslims in north Africa, and Turkey, Nazi is not right wing, it was entirely a creation of the left, which took much inspiration from progressives(democrats)in USA, particularly democrats love affair with eugenics and their creation of the reservation system during the Indian wars!