Huh? Methinks you are blowing smoke (or, swilling beer, perhaps?). No one has to obey an unlawful order. In fact, every member of the military is drilled on that fact during "Law of War" briefings. Michael New correctly ascertained that he was being asked to carry out an unlawful order. He paid the price, but true patriots usually do.
P.S. Military bearing generally refers to the way one carries himself (i.e., appearance), and not behaviour. Hence a sloppy soldier could obey an order while a "squared-away" soldier could commit mutiny. The issue is not bearing, it is conduct -- and New refused to violate his conscience. (Guess you never heard of folks the Tuskeegee Airmen and their refusal to obey orders regarding segregation, which is celebrated as courageous by the same folks who busted New.)
Perhaps you can help us understand what an unlawful order is then. And then tell us how he could be punished for disobeying an unlawful order. Perhaps it wasn't unlawful?