I don't roll through stop signs in my car. I don't roll through stop signs in my cart.
I do roll...very slowly...through stops sign on my bike. I'm one of those that has toe clips and does not want to pull them out unless necessary. I do it with the utmost caution and will stop every time the situation warrants. (Even without toe clips, it's much easier for a car or cart to stop/start than it is for a bike rider.)
Where do these overall stop sign habits fit in this discussion?