If this is true than I do not see how the Air Force is going to win on this issue:

An atheist airman at Creech Air Force Base in Nevada was denied reenlistment last month for refusing to take an oath containing “so help me God,” the American Humanist Association said Thursday.

And in a Sept. 2 letter to the inspectors general for the Air Force and Creech, Monica Miller, an attorney with the AHA’s Apignani Humanist Legal Center, said the airman should be allowed to reenlist without having to swear to a deity, and instead given a secular oath. Miller said the AHA is prepared to sue if the airman is not allowed to reenlist.  [Air Force Times]

You can read the rest at the link, but the Air Force is blaming Congress for the wording of the enlistment.