I was thinking you had to beat them by imitating them (infiltration). It would probably be very difficult, considering they have their all-seeing-eye to stamp out any secret societies but their own. They took over through infiltrating every layer of society using any means possible. They have insanely strict rules on membership that keep them from being discovered. I don't really see another way to beat them at this game. If you try through their rules, they will remove anyone who actually begins to pose any kind of threat.