I think blood is supposed to lead. His interest in romance is described as interest in interesting sociological research and any leader would be better off to have that. He becomes the inexplicable leader of red and blue, though few people liked him. He told the leader of b1 what to do and directed the "trolling" of the other b1 players. He instantly recruited jack.
Mind generates useful offshoot timelines. Everyone generates timelines but mind actually makes useful ones because it knows what it is doing. It doesn't directly control anyone. It makes them make every decision possible and then paradox space chooses to doom or not doom those timelines. So, it looks like control but every possible failure is also happening in order to get the proper result
I think rage is a regulator. He is the gudge and his heads are the jury. If your existence leads to doom, he kills you. He is like a snail. He eats the scummy mistakes so that the tank isn't poisoned. When he was in a doomed timeline, he killed everything. Eridan and Varisca were about to cause a doomed timeline, and he arranged their death. b1 was null, he destroyed it. The destruction of b1 through the creation of beq noir was shown to be helpful to the alpha through the actions of both light players.