NASA Patch Sewn on in Peace-Time Direction...

Notice anything unusual in this FANTASTIC shot of Astronaut Steven Swanson during the last International Space Station's mission's second space walk?

I'm assuming this breach of the normal wartime flag-direction protocol is a bow towards Wilsonian internationalism blah blah blah, but it sure seems like to me that those stars on the flag should be on the other side, facing into battle, even among the stars.