I think the other meaning for "mickey mouse" is proprietary, usually done to protect a formula or part from being easily copied by a competitor. Maybe a little odd for a contracted military arm. The dimensions for the screw are; major OD of threads= 0.134" @ 36TPI and a threaded length of 0.28". The screw head fits the recess in the frame and is slightly domed. These dimensions don't match any standard British, American or metric thread I can find but would be closely analogous to an American 6-36. I think Peter's definition of mickey mouse, fits the bill.
There is someone on ebay selling 6-36X7/8" steel slotted screws with large heads that could be easily shortened and the heads altered to fit I think. They want about $13 for four of them. This screw is somewhat redundant in that if the coin slotted screw on the left side is removed the hinge pin is free to move laterally and possibly fall out. If the coin slotted screw is in place nothing can go awry. Best. Tom