The truth? Iraqis shot American military personnel and filmed the result?
The need for outrage does trump the need of American military families. They are, or are not, going to see the film. No one can control who views what. Hurting people's feelings is not a consideration with a free press, nor should it be. Good taste is an editorial consideration that is based on the nature of the publishing entity.
No good can ever come from suppression of reality. The World needs to see such "up close and personal".