Yeah, I prefer fascist autocrat to make sure people know I'm not fucking around. But nazi (lower case) is a fine shorthand. Neo-nazi almost suggests we're talking about a non-mainstream movement. MAGA if I want to be specific.

I refer to NSDAP when talking about the German Worker's Socialist Party that wasn't really all that socialist and got a lot of funding from Benz and Bavarian Motor Works, and had no small thing for Wagner's version of the Wotanic mythos.