Better yet, they should all start like this.
Let's just create a bunch of mini-Mafia games.
Rules:
1. Three people per game
2. One person is a known townie.
3. One person is a godfather.
4. One person is a townie.
Voting commenses. If the known townie votes for the townie, mafia wins. If the known townie votes for the godfather, townies win.