Here in California, bicycles are considered vehicles. And since all vehicle code applies to cyclists (stop at stop sign, no wrong-way driving/riding...) if you are stopped and found intoxicated, you WILL be arrested for DUI. If you are walking with a bike, you can not be cited for DUI but you can get cited for public drunkeness. The police has to see you riding while intoxicated.

Speaking of which, my partner and I was almost run over by an idiot girl who could barely control her beach cruiser going the wrong way on a sidewalk. no helmet, flip flop, ipod sticking out of her ear... And there is a prominent road sign No bicycles on side walk HBMC 19-26(a).