Hey now, I'm not saying I'm one of those idiots who blows through stop signs. I'm just saying that in most cars, your field of vision is blocked in a number of places and you need to take a moment at a full stop to look around you before proceeding. If you do that while moving, it screws with your perception. The difference between 2 and 5 and 10 mph is a lot more subtle in a car than on a bike.
On a bike there are no support columns in your way, no blind spots, and absolutely no difference between craning your neck around while very slowly drifting forward versus doing so with your feet on the ground. You can tell if traffic is clear or not just as well either way. (I'm talking about quiet residential streets here, not places where there's usually cross traffic!) If it were equally convenient to stop completely, maybe no one would care, but since it is a lot easier to accelerate from even a very low speed than from a full stop, it becomes really obvious that the latter doesn't do a damn thing for safety once you force yourself to do it a few dozen times, in spite of the inconvenience, and make the comparison.
After 20+ years of biking on roads, and 15 years of driving, the only accident of any sort I've been involved in was when I was young and stupid, biked on the sidewalk where there wasn't room to bike in the road, and T-boned another cyclist at low speed when he came out of an alley. No near misses, either, though I've had to shout "Watch out!" to zombie drivers who don't check their mirrors more times than I can count. So anecdotally, at least, I can say this approach works!