The military wants: automated chat agents/web users that can be sent to dark web markets and hacker IRC channels and report back intelligence. Common sense inference from security and drone footage: predict who the killer is when watching a movie. Author deanonimization and cross-device tracking. Global-scale 99.9%+ accurate face detection.
The Dutch Intelligence Agency organizes a yearly competition with difficult codes to crack. [1] It is rare for someone to answer all questions correctly. The answers require logic, creativity, common sense, linguistics, causal inference, spatial reasoning, expertise, analysis, and systematic thinking. I bet the military would be mighty interested in an automated problem solver for that. And mighty scared some other country gets there first.