Agreed, I have seen a ton of games that I have done where I would like a mulligan
Rematch by move...

Good idea! I have submitted it to our team. Obviously the rematch would have to be unrated. I can't make any promises, but the people that need to know about these things will be told. :)

If both players agree, then this can be done manually even without any special provisions offered by the site. You just do it (open two browsers, one with the old game as the template, one with the new game). But yeah, it would be so much easier if it were automated.
would be cool if you can rematch someone and have an option where you could pick what move you want to start at from previous game....