This guy sounds a little loonycakes, but in a strangely appropriate way. And you're wise to be leery of it. The relationship, so far, sounds exciting, and passionate. Most dudes have become apathetic man-sponges when it comes to chasing tail, or pursuing hearts (the two are not mutually exclusive.) So I'm sure hanging out with a guy who's really, really, really into you is a nice change from a guy who's all eye rolls, monosyllabic grunts, and complicated emotional relationships with video game consoles.
Here's the thing though: he's on the rebound, and he probably doesn't know it. But now you do. You have two choices: enjoy the ride, or bail. Whatever you do, you can't hang out with this guy and have any expectation that it will go anywhere. He's in a totally different headspace than you. Maybe he's trying to find that thing that was missing from his last relationship. Or maybe he's trying to engineer, prematurely, what he had in his last relationship, essentially going from 0 to 60 immediately.
But this is useless speculation. He's on the rebound, and you know that. Be smart about this: sometimes a fun romp sans clothes with someone who's not looking for a real relationship can be fun. But this isn't a challenge. Don't look at it as one.