If I remember my dates right, the Nazi Party that existed during WW2 and just before it, the one ruled by Hitler did not exist during the US Civil War.

Now, I do t remember if a version of the "Nazi" party existed almost 60-80 years before during the Civil War, but I do remember before Hitler extolled his virtues and mindset on the party it was not nearly as racially antagonistic.

So... I would say no, I have nothing to back it up at this time, about to head on vacation and just typing on my phone.