Currently Batman is acting like the leader of them...he's the only one who seems to have his shit together. It will be interesting to see what happens when we flash forward.
When has Superman abandoned his "kids"? That was only created for Young Justice. He was a mentor to Connor when he finally accepted him in the previous continuity. Who do you think gave Connor his names? He's never been a father figure in the comics. A mentor yes, but not like Bruce with all the Robins.