This is the “Al Odah” case, although it may end up captioned differently (Boumediene v. Bush, 05-5062 (D.C. Cir., Feb. 20, 2007)). Text of the 2-1 decision by Judge Randolph for himself and Judge Sentelle. There's a long and persuasive dissent by Judge Rodgers, noting that the Supreme Court, at least in dicta, appears to hold a different view about key elements of the case.
If Sandra Day O’Connor were still on the Supreme Court, I'd predict reversal with some confidence. Now, I'm not as sure, but I still think there is a good chance that there are at least five votes left to overturn this. I suspect that there is, however, no real chance it would be overturned en banc in the D.C. Circuit. That court has become astoundingly right-wing as of late.