This is purely anecdotal, but in my Ward (a congregation of approximately 500) we have over 9 young adult males and 1 young adult female who have enlisted since 9/11 -most have been deployed to the Iraqi conflict. Of these, the Bishop has all 3 of his adult sons in the military - 1 of which is deployed.
I know this is anecdotal, but my current experience and what I've seen as a Mormon my entire life disproves your theory.
Thanks for responding. In any event, my inclination was based on the high number of boys who go on missions, thus, perhaps, removing them from circulation at the stage in life when it's normal to make the decision to go military. It certainly was not based on any perception of lack of patriotism.
Of course, any statistics generated during WW II, Korea, Vietnam, or any period when there was a generalized draft, would not be meaningful in this context.