You seem to be under the impression that 'most' werewolves spend the full moon larking about free and mauling at will. They don't, they go to intense lengths to make sure no one gets hurt. Otherwise there would be far more attacks.
As far as the ministry goes, do you think they would give a shit what happened to them? They'd lock them in cages, treat them like beasts. No one deserves to live like that Red.