I hate to say that I am in the same boat with you, but even literally on my first day of riding my bike to work, a UPS truck pulled into the bike lane as I was riding past and was within mere inches of hitting me before my screaming jolted him to a stop. Holy. crud.
I've had similar scary situations though as a driver trying to avoid bicycles. Just lsat weekend, I was pulling into a spot on the driver's side on a one-way street, when a cyclist going the wrong way down the street nearly slammed into me. I'm paralleling in, looking behind me to make sure that I don't hit the car I'm backing into, and when I turn my head, there's this cyclist coming straight towards my car.
In Denmark, they actually make bicycle riding and safety a part of school lessons, so kids actually grow up knowing the rules and how to ride defensively. I'd love to see how something like that could actually help influence a wider swath of young people sharing the road on their bikes in the future.