In the other setup, the "Fool" is definitely interesting. the guy has to get lynched, not murdered.... so a fake cop, a fake doctor, a fake mafia... everyone could try to be perceived as the fool... causing mass mayham.
If I ever ran one of these.... I would just do what I suggested was being done. .. throw them all in the mix and make no mafia... and sit back and laugh.
but I'm a bit twisted.