You have to be conscious of individual base-rules regarding moto gear.
Where I live, one base only requires long sleeve, another reflectives, at one point they were even checking that you had a card that showed you passed a safety motorcycle school.
Boots over the ankle, gloves, DOD approved, and eyes covered are standards.
If they said they want a reflective vest, then get one. Military entry can be very pickie. Most are scanning your id nowadays.
The Marine base here requires a vehicle sticker now...again...they did away with them a while back...but they are back in security vogue now.
"hum, fear not evil I shall"
"All things with Christ's strength I do"
Yoda quoting the Bible.