This decision may come out tomorrow morning, but more than likely not until next monday (28th).
I'm going to just go nuts here for a moment and predict that it will be 9-0 in favor of incorporation, with Ginsburg writing the majority opinion, with the justices split 5-4 in favor of P or I incorporation over due process. Ginsburg, Stevens, Breyer, Sotomayor, and Thomas for P or I, and Scalia, Roberts, Alito, and Kennedy for due process. Crazy, right? Probably, yes. But all the stars are aligned for it to happen. You just have to convince the "leftist" justices who hate guns to see the bigger picture of what is at stake here. I think Alan Gura did a wonderful job of that with his briefs and oral arguments, and there have been more than a few amicus curiae filed in support of P or I incorporation by traditional leftists who you would not expect to see in a gun case like this. There's no reason why it can't happen.