Hey there. I am a veteran officer (though back in college to make a switch to education) and I have been gaming on and off since the early 80's.
I think cops, even more than other professions, are very guarded about the image they convey, not only to the public but to other cops. I am very, very secretive about the fact that I game. I nearly crapped my pants when my wife posted picks of me running a Castles and Crusades game at GenCon on my Facebook page.
I game with a group of likewise professional closet gamers; my best friend, a well respected and very conservative guy, is our GM most of the time, and he would die before it became public knowledge. lol.