The good guys -- Carroll and Novella -- won handily here. Alexander came off like a charlatan and Moody like a new age babbler. Carroll and Novella came off like the serious scientists they are.
Moody -- described as a philosopher! -- babbled about a "higher dimension" and "higher domain of existence". He believes there are "new ways of thinking" and "new logical principles" that will let us understand the afterlife -- but of course, he doesn't say what these new ways and principles are! And he apparently also believes in ghosts, not just an afterlife. Then again, Alexander believes in "telepathy, precognition, remote viewing, out-of-body experiences, past-life memories in children" as well as "lower spiritual realms".
Alexander egregiously misrepresented the views of Carl Sagan at 1:26:30. He claimed "a very renowned skeptic and scientist, Carl Sagan, admitted that, past-life memories in children, the evidence for that is overwhelming" and justified this with an appeal to The Demon-Haunted World, p. 302. Well, here is what Sagan wrote on that page:
As you can see, Sagan describes the evidence as "at least some, although still dubious, experimental support". That is a very far cry from "overwhelming".
I really have to wonder, however, about the organizers of this debate. Why are they giving Eben Alexander's goofy claims any attention at all, considering that very very serious questions have been raised in Esquire about the truthfulness of his account? It certainly undermines their credibility. And I wonder why neither Carroll nor Novella explicitly brought up the Esquire article at all. Perhaps it was a tactical decision on their part.