Earlier quoted context omitted.
Are you arguing for a system where employers consider your political views before hiring you? And no this is not an attempt to in anyway belittle what Nazi German did during WWII. Assuming the employee you are referring to has never been engaged in such acts, though, that feels like a very slippery slope.
Part of being a Nazi means the sincere believe that the Aryan race is superior to all others and that eradicating them is a sensible goal. Thats not a political view. Its one of racism and finding genocide acceptable. I would sincerely hope that any sensible person would refuse to hire someone like this.
A person in a workplace can have whatever views they want. Holding a view in no way prevents them from being able to do the work well. Its a different story if they cause a problem at work, but that is viewpoint agnostic - anyone starting political fights or worse at work is a problem.