Damn military police. I've driven around w/o doors for nearly 20 yrs and the only thing I'd be concerned about are the mirrors. Ive been pulled over w/o doors, mirrors, no light for my rear plate, no front plate, no flares and tires out to wide. STILL got off with a warning. I guess it depends on the cop. They typically aren't looking for jeepers. They are looking for racers and gang bangers and speeders. God knows a jeep doesnt speed.
If @ 1st you don't succeed, grind it, hammer it, weld it, drink a beer and try again.