Using the term "Nazi" to define a course of behavior doesn't seem unreasonable to me.
There are parellels with what happened in the 20's and early 30's in Germany that can be
found in the US. I believe that the Christian Right is engaging in a kind of "Naziism" which as a political philosophy can be defined as a "theocracy" in the loose sense of the word. Hitler was not an atheist and punished those who were. He insisted in some kind of "divine right" taking his position from his upbringing. He was not specifically but somehow associated with Catholicism and this was one reason he made a rapprochement with such as Pope Pius and clerics who remained during the Nazi occupation of Germany. He used priests to help him get war criminals out of Germany and to South America.

I believe that Upton Sinclair's definition of facism is more precise, however, than Naziism.
He said, "Fascism will come to the United States wrapped in the flag and the cross".

Frank Hamilton