First I thought you to be mostly right about that, how groups name themselves. But looking at the lists of extremist groups I was able to find, I was surprised

First I thought you to be mostly right about that, how groups name themselves. But looking at the lists of extremist groups I was able to find, I was surprised to see that names (at least in languages I can read) are actually quitw often just as extreme as the groups, and follows some rather superficial patterns. Further, almost all names that are not obviously extreme still referred to either nationality or religion one way or another. Quite surprising to be honest. According to those patterns, most of those organisations are extremely unlikely to classify as extremists in the usual sense of the word. The might still have extremely unusual opinions, but that's a completely different matter.