No, laws that are appropriate for cars may not be appropriate for bicycles. Stop signs, for example. There is no justification for requiring bicyclists to come to a complete stop to safely cross an intersection. (There isn't for cars, either, but that's a separate issue.)
No, you don't get to have it both ways. I have routinely seen bikes dash through stop signs and lights when they don't have right of way. On more than one occasion of seen said cyclist get injured; the person driving the car gets blamed despite the bicyclist breaking the law. This is entirely unacceptable and dangerous, I don't care if you don't think the laws make sense every vehicle has to follow them.