Don't forget, too, that it's entirely possible to give the police those visual clues that say, "I'm just a regular guy. You don't need to worry about me." Ride as though you are part of traffic, not a hindrance. Respect red lights. Show the peds proper consideration.
Also, it doesn't hurt to look the part. I wear a helmet, gloves, reflective vest, knee pads. I even wear a weight belt for protection of kidneys and lower back. It's under the vest, probably not obvious. But someone who took a close look could figure it out.
I just don't look like a drug or gun runner. I'm clearly a commuter going to and from work. (And loving every minute of it, by the way) I've encountered no hostility at all from the police. They're mostly friendly. Indifferent at worst.
Perhaps they've already worked all of this out. In the non-motorized world there are different bicyclists with different "profiles". When they see a spandexed, lance armstrong wannabe in a suburban neighborhood, they probably don't spend any time wondering if he's carrying any kind of contraband or breaking into businesses.