If it were strictly a personal item, then the military had no case against her - as the story states that evidence that would show other Marines had personal items at their workstations was suppressed in this case.
I'm not taking sides in this one, as I don't have enough information to go by. That being said, the Oath we say upon entering the service, and also a swearing in of witnesses and the accused during a Court Martial proceeding both contain the phrase "So help me God", or at least they did when I was in. I'd like them to explain that one at the same time they're crawling all over this Marine.
You are trying to make this a religious case. It’s not. The Marine Corps owns the computer, everything on that machine is subject to the approval of the USMC.