I slow way down for red lights, and what I do next depends on the situation. If the intersection is clear, meaning that I can cross safely, without bothering anybody else or especially stealing their right of way, and there isn't a police officer around who looks interested in giving me a ticket, I proceed.

The police treat me just fine, when I approach them. It would be a little ... disrespectful of their authority to run a light or stop sign directly in front of one while they're paying attention and seem interested. That forces them to do something about the situation. The truth is they really don't care about bikes - we're invisible to them. But on those rare occasions ( usually on longer weekend rides ) where I stop one to ask directions, they seem moderately amused, and then promptly forget me.

Also, I don't start moving just because a light turned green. Cars run lights rampantly ... they just do it during the first 5 or 10 seconds of it being red, and speed through the intersection, whereas bikes do it more slowly and at any point in the light cycle.