As a pedestrian I disagree. I've actually seen cyclists knock someone down (it was a pure accident, no drinking involved as far as I know) and they were pretty badly injured (ambulance, etc). Last thing we need is cyclists drunk, they're dangerous enough when sober.
Hell, they're even a danger to other cyclists when sober!
My girlfriend was injured a couple years ago when she was cut off recklessly by another student, also on a bicycle, and swerved to avoid him. End result was she wound up hitting loose gravel in a construction area, lost control, and ended up face-first into the pavement.
At university, I had a few near misses myself (as a pedestrian). I'd often park in one of the more distant lots and walk to class (one for the exercise, and two because it was nearly a two hour drive--I needed a stretch!), and the central thoroughfare was a wide, cement walkway that was mostly downhill. Most of the cyclists were cautious and traveled slowly, but there were always those (thankfully) few clowns who would race as fast as they could. I'm not sure if they were making a game of us as moving obstacles; regardless, I always kept an ear out behind me and kept far, far, far to the side near the grass!
I only have anecdotal evidence, but offer the heuristic that most "drunk enough to be dangerous" bicyclists can't ride fast enough to maim anyone -- and if they're riding down a hill, they're much more likely to be maimed.
There's an inherent barrier to entry that makes drunk biking difficult enough to limit those who can actually do it. Like how often do you see someone drunk on a road bike with clips? How many drunk people bike on busy roads where they're more likely to get killed than the guy in an air conditioned hunk of metal on wheels?
A reasonable person's analysis might conclude that it's better to say, "hey, let's bike to the bar" that's 4 miles away rather than "let's drive," because statistically you're as/more likely to fall down and injure yourself as if you'd walked, and will harm society much less than if you'd decided to pilot a machine that requires a fraction of the bodily coordination to get from A to B.
It's too late to edit my post but let me clarify the point I was trying to make to the parent poster, who responded to "having a few beers and getting on a bike" with "driving under the influence can maim or kill people."
I'm not advocating RUI but I do not think it should be classified, legally or ethically, as a DUI. Neither is good but there's a huge difference in actual danger between the two. It's along the same lines as "public urination," which is distasteful but usually harmless in context, landing someone on the sex offender registry next to people who did much, much worse things.