@Feryll - I agree that all fathers in the military (Army, Navy Marines, Air Force) should have paternity leave. This is definitely overdue, and something that should be addressed immediately. However, I would go a step further and say that whether a new father is married or not should not be a consideration in granting paternity leave.
If a soldier's girlfriend just has a baby then that soldier should have the same right as a married soldier whose wife gives birth to a baby. Both soldiers should be able to take off and go see their babies. Otherwise, the U.S. Government is sending the message that the unmarried soldier is somehow less important, and his family is less valued. This is wrong.