I like the idea of performing miracles to generate more voting tokens. 'Eliminate an option before the vote' could be a good option to be called smite.
I could see maybe some actions being secret and then things like big miracle or devastations being public. But if all actions were made in secret I think that would be a really fun type of game as well (more chances for deceit).
As for amount of actions I could see using the voting tokens as currency. Or maybe you only get two actions but some actions taking up your entire turn.
If the rules and terms of this game were rigid enough I could see this working as a GMless game.