Story 1
I was on my motorcycle on the left lane in a city when a car way ahead of me just plowed into a bicycle riding on the side of the road ahead of it as if it wasn't there. The car driver was dreaming or sleeping- I don't know. The bicycle rider, an elderly person, almost went through the windshield. Me and some others stopped to help. Luckily he survived.
Story 2
When I grew up I was on my bicycle all the time. I was one of the cyclists you may see disobeying traffic rules but I never did it in any dangerous way, to myself or to traffic around me. I had zero encounters involving cars though I did have a few scary falls involving myself doing stupid stuff. This is over years of riding every day.
The point I am trying to make here is that treating a bicycle like a car is stupid. It's almost as stupid as saying pedestrians should walk on the road, stop at stop signs, change lanes when they want to turn, and stop at traffic lights. Bicycles sit somewhere between pedestrians and motorized traffic, they're not one and they're not the other.
These days I am very careful about where and how I ride my bicycle. This is because I don't have that sixth sense anymore of what's going on around me as I don't ride as much and I also don't live in the same place. New riders in a new environment should be very very careful. I will often prefer to ride on an empty sidewalk to riding on the road as the odds of getting mowed down are much lower (but watch out for cars zooming out of driveways). As a driver I give plenty of room to cyclists, if I can I move out of their lane, because I know that a bicycle may simply move into my path at any point and I know how hard it is for a cyclist to hold a line perfectly over a length of time.
Adding another thought here: It seems car drivers these days are more isolated from what goes on around them for various reasons. I see this even in myself as my car is better insulated and there are more distractions (GPS, phone, etc). This is yet another problem in sharing the road.