This really isn't about them as players anymore because it's blown up into an argument about how teams are because of their players. I believe that Mo is more deserving than what Allen was, and though Carter is well above both them, my argument is that Carter gets that many more touches with the ball than the other two do.
If they were discussing throwing any other point guard in the league, to join this cast of characters for a possible replacement for then All-Star Jameer Nelson. I'd have an argument for them too, weather I determined if they were going to be better than Mo Williams for the position or not. Point is, in this argument I'm stating Williams>Allen>Carter, in THAT order for who deserved the spot.