If the arguments DC makes are the ones shown here:
I don't think they have a chance. SCOTUS will either refuse to hear which is good, or uphold the ruling which is better. Judge Silberman anticipated the very arguments that Judge Henderson made in her decenting opinion and brought in everything from the writings of the founding fathers to Supreme Court decisions in demolishing those arguments. If you haven't read Judge Silberman's opinion you can see it here. Masterful is the best word I can think of to describe it.In an earlier filling in the D.C. Circuit, city officials said their appeal to the Supreme Court would present some variation of these questions: "(1) whether the panel majority's decision conflicts with the Supreme Court's decision in United States v. Miller, 307 U.S. 174 (1939), as Judge [Karen LeCraft] Henderson concluded in dissenting from the panel majority's decision; (2) whether the Second Amendment protects firearms possession or use that is not associated with service in a State militia; (3) whether the Amendment applies differently to the District because of its constitutional status, as Judge Henderson also concluded; and (4) whether the challenged laws represent reasonable regulation of whatever rights the Amendment protects." The city noted that the panel had acknowledged that its ruling conflicts with decisions "of most other federal courts of appeals, many State courts, and the highest local court in this jurisdiction, the District of Columbia Court of Appeals."