I have always been of the belief that Christmas music was comforting. As a veteran (and I am sure many will back me up), I listened to a lot of Christmas music while I was over seas and away from my loved ones during the holidays. As a matter of fact, the "Army Christmas" stories tend to outlive all other vet stories -- we all remember the terrible food, the thrown together tree, and the one bottle of beer they let us drink (!!)
There is no reason you can't honor your country's servicemen and women while playing Bing Crosby (<-- who did as much as any entertainer for the troops during WWII). As a veteran of Iraqi Freedom and the War on Terror, I can say to you that I am no offended if you like to listen to Christmas music early, I like to also!
"I have always thought of Christmas time, when it has come round, as a good time; a kind, forgiving, charitable time; the only time I know of, in the long calendar of the year, when men and women seem by one consent to open their shut-up hearts freely, and to think of people below them as if they really were fellow passengers to the grave, and not another race of creatures bound on other journeys." ~Charles Dickens