The US Air Force kicked Christian Gideon's volunteers off base in March.
The Bibles were too offensive and violated the separation of church and state rule.
But US military personnel are expected to adhere Islamic practices during Ramadan.
Stars and Stripes reported:
U.S. personnel accustomed to drinking their coffee on the drive to work will have to put that habit on hold for about a month. It's one of a few lifestyle changes Americans will have to make during the holy month of Ramadan.