Cyclists don't just conflict with cars, they conflict with Pedestrians.
I've been hit by cyclists more than once. (And OK, I hit a pedestrian when I was riding a bike back when I was a teenager too.)
Walking in L.A. I experience near-misses with cyclists riding illegally on the sidewalk about as often as I experience near-misses from people running red lights when I'm in a car.
I had a friend in college hit by a bike while he was walking on the sidewalk. There was a clear area for the biker to ride other than the sidewalk. Serious recovery time was required (almost blew his whole semester).
I've been hit by cyclists more than once. (And OK, I hit a pedestrian when I was riding a bike back when I was a teenager too.)
Walking in L.A. I experience near-misses with cyclists riding illegally on the sidewalk about as often as I experience near-misses from people running red lights when I'm in a car.