retired military here (Go Army!).
Dept of Defense (DOD) requires all active duty motorcyclists to have completed an authorized motorcycle safety course in order for them to ride on a DOD installation, regardless of service affiliation. In addition to that each service imposes other "safety" measures: reflective clothing, over the ankle boots, eye protection, gloves and DOT approved helmets. The commander of each facility is free to put his/her own spin on these regulations also and may require advanced safety courses (experienced rider course or similar), re-certification, refresher training, etc, etc.
Most of the time you are just waved through the gate if dressed properly, once in a while you'll be stopped for a spot check by a safety-nazi.
It's not unusual to see the "life-style" riders stopped before gate stashing their "beanie helmets" and putting on their required safety gear so they can enter installation.
all told, things are pretty smooth until there's a motorcycle related injury/death, then the entire chain-of-command starts running around with their hair on fire because they have to report to "higher" that the rider was fully certified and in compliance with local policy. this is usually followed by remedial training for all riders, increased screenings for proper endorsements, etc, etc and so the cycle continues.
The injured soldier is usually a young male with little riding experience that just bought a 150HP two-wheeler a week ago, probably not much different than civilian statistics.
those who have served/are serving will laugh aloud at the knee-jerk reactions that follow an incident.
i cannot attest to ratio of injuries/deaths to riders as compared to other military operations.