Surely your irony detector must have went off writing this statement. One of the core message of these groups is that the media is biasing their coverage against them in an attempt to sway public opinion and your suggestion is to prove their point?
I don't think there's much to be gained by putting on a circus that exposes the Nazis as the scheming bad guys -- it's already in the name. They're provoking a reaction from groups and people who have been long claiming to be tolerant and respectful of dissenting views.
The way I see it the only way out is to be the better people, let them say and do as they please, challenge and criticize their ideas openly, respectfully, and with evidence, and be secure in the fact that in the long run they'll be proven wrong.