Well, I've been in both positions: I was an avid bikerider and rode more than 100 miles a day sometimes AND I've hit a person on a bike.
I came to an intersection that I had been to 100s of times. As I approached it I looked around and no people/bikes, etc were there. I came to a stop and had my blinker on because I wanted to turn right. I looked left. No one was coming. I looked straight to make sure the light didn't change. Looked left one more time and slowly started to turn right and all of a sudden BAM and before I know it the car is up on an angle and there is a guy's head and upper body peering at me from over the hood. The guy starts getting all pissed and mouthing at me. He yells at me to back up and get off his bike. I put on the blinkers and pull on the side and see how he is. He's fine but his rear bike tire is all warped and pretty much shot for good. He told me it was his only mode of transportation so I felt sorry for him and gave him about $30 (it was all I had in my wallet at the time) to go buy a new tire. It wasn't till later I found out he was breaking two laws: he was riding on the sidewalk AND was going the wrong direction! He just came flying out and assumed everyone saw him. WRONG! He's fortunate no traffic was coming for me to get ahead of or else I would have really gassed it and he would have ended up under or behind the car. He was pretty lucky. Even though I was driving a new car and it scratched up the front pretty good (I think it was from one of the peddles on the bike) I wasn't mad. Just part of driving and I was just glad no one was hurt.
Another time I *almost* ran over another one. It was night time. Speed limit was 50 and that's what I was doing. No streetlights on this road and it was a moonless night. All of a sudden this bike comes into view and I slam on the brakes and swerve into the next lane. Totally dark and wearing dark clothes riding in the center of the lane and NO REFLECTORS. WTF? Almost...
When I rode (I don't anymore...I graduated to cars ) I always stayed out of the way of cars (iow, I always let them win lol). I never had one close call ever. It seems to me that so many of the bikers assume that cars will see them and that quite often just isnt true.