It's a straw man argument to say that the claim is that "all groups of hard right people are created, infiltrated, and/or controlled." It's groups on the left and right, and if Peace Fresno can be infiltrated by "Aaron Stokes," AKA Deputy Aaron Kilner of the Fresno County Sheriff's Office antiterrorism team, then so can political opposition of all stripes. It's not the Jews.

You are precisely correct that one of the reasons for doing this is to reduce the amount of trust group members will place in their fellow members.