Because Schiller had gathered everyone onto the bridge and wiped them out in one sweep, the League of Assassins and the Court of Owls' forces on the East Coast had basically been annihilated. Talia and Dick might not have died, but they would not be able to cause any more trouble for quite some time.
Main Universe Batman stayed behind to restore order to Gotham in that universe. Arkham Batman, meanwhile, took Hush Batman's brain with him to search for a new body.
Gotham in this universe was not in such terrible shape. It was clearly still salvageable, so naturally the two Laughing Men could not be allowed to duel here. Arkham Batman took both of them away as well and sent them to Broken Bat's universe.
Gotham in that universe was basically beyond saving. There were hardly any people left, making it an ideal place to dump trash. Broken Bat, currently using Death Angel's body, was busy exploring Battleworld and had no time to care about his home. It was the best destination for the two Laughing Men.
Batman and the Jokers were all quite interested in seeing what the two Laughing Men would do. But for now, it was nothing more than two disabled men pulling each other's hair.
The one using Elliot's body had barely received any training and was only a little stronger than an ordinary person. The one using Hush Batman's body was even worse off. His lumbar spine was severely damaged, and even The Batman Who Laughs' Self-Healing might not be able to reconnect it. He would probably have to rely on a wheelchair for quite a long time afterward.
Yet both of them were indeed still alive, so they could not resurrect another one for the moment. At their current level, even getting