The Plaintiffs in Hedges v. Obama, otherwise known as the NDAA Lawsuit, applied for an emergency stay of NDAA power to the Supreme Court. Their application has been rejected.
Looking at our Federal Justice system, we're not surprised.
"Dec 14 2012 Application (12A600) denied by Justice Ginsburg. The application to vacate the order entered by the United States Court of Appeals for the Second Circuit staying a permanent injunction entered by the United States District Court for the Southern District of New York is denied. See Doe v. Gonzales, 546 U.S. 1301, 1308-1309 (2005) (GINSBURG, Circuit Justice)."