The US Army has previously tried to offend "native sensibilities" - such as dropping miniature plastic silhouettes of women on the Vietcong - evidently inspired by some (truly ancient) bit of folklore that Vietnamese men have a superstition about seeing a woman early in the morning. You can see how successful that was.
If the Army wants to demonstrate it's losing patience, it might consider trampling on Moslem religious sensitivities. I'll bet a lot of Baathists would sell out Sadam, and their own mother, to avoid a prison menu consisting entirely of Spam and pork rinds.