The military will pick you up for DUI on a bicycle if you're riding it on base. It's not quite the same as a DUI out in town, as it doesn't affect your driving priviledges in general, but they can and will suspend your right to operate a motor vehicle on a base. (Mostly means that you can't get a base sticker for a vehicle that's registered to you, if you drive someone else's car, they won't know unless they actually stop you for something and run your ID)
On the other hand, the only person that I know of personally that this happened to fell over in the street in front of the MP's. TWICE.
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"There is no greater wonder than the way the face and character of a woman fit so perfectly in a man's mind, and stay there, and he could never tell you why. It just seems it was the thing he most wanted." Robert Louis Stevenson