As a pedestrian who doesn't drive and doesn't cycle, in 10 years living in a major city (with decent cycling infrastructure) I've had 0 close calls with cars, and 4 very dangerous close calls with cyclists. In all cases, they were driving through red lights as pedestrians crossed, not signalling when turning, or ignoring other basic rules of the road. If we got rid of all car traffic and replaced it with cyclists, I am not confident things would be safer.