I think I maybe able to identify some of the disconnect, I am a US military veteran and can say I have never met another Veteran that says he/she joined the military because they felt compelled by their Christian faith to do so for the purpose of fight Muslims in an attempt to win an end time battle. Nor do I i know any Christians that are on a convert or die mission towards Muslims.
In the Christian faith people are saved by grace no matter what they do. On the other hand it is my understanding that for the more radical sects of Islam killing infidels or non believers wins them good favor in the eyes of Allah. In my opinion that need to win good favor in the eyes of Allah give real purpose to killing in his name.
My point is US military members may or may not be Christians and their faith is not the main driver behind what they are doing, where as the Muslims fighting on the other side are often fighting in the name of their God.