Do extremists tell you anything about the larger group?

Be they extreme religious groups (e.g., Westboro, ISIS, Boko haram), extreme social groups (e.g., feminists), or whatever else you can think of. It seems like people are quick to divorce themselves from that level of extremism by denying an association. But is there something to the group that allowed the extremism to develop in the first place? Comment on whether you think it matters, and if it's something we should talk about.

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