Despite its name, it’s important to note that Nazi’s were strong on government ties to private enterprise and at no point ever would think to abolish private enterprise. In fact, Marxists and communists were considered political enemies sent to gulags whereas you don’t see that kind of treatment of right-leaning groups.

Similarly, looking at present day, we see modern day Nazis forming within right-wing political groups and allying heavily with right wing political groups while attacking groups that are left-leaning, including “socialists”.

I think the evidence starting you in the face doesn’t require such mental gymnastics.