I'm an "older driver"--66, a former sports car racer--and also an older cyclist, with more than 40 years' experience as an adult. I'm sympathetic to both sides here, and I'd absolutely reject an arbitrary age-based ban on driving. Some people can drive well into their 70s or even 80s, and some shouldn't be licensed at 25 (I know a 25-year-old woman, a former scholarship-quality college athlete, who had NINE car crashes between the ages of 16 and 23, when she moved out of our neighborhood).
I'm pretty sure your first point is wrong. I've seen studies that show a significant increase in crashes past 65-70, and virtually all "runaway vehicle" or "unintended acceleration" crashes occur to older drivers who hit the gas instead of the brake (Toyota's going to come away clean on this, wait and see). For my part, I was a decent racer 30 years ago, but I no longer have the vision or reflexes to compete, so I don't do it. I've also noticed myself making some lazy mistakes on the street, like not quite turning my head far enough to be SURE nobody's lurking in the blind spot. I've never crashed in about 1.3 million miles on the road (racing doesn't count), but I've come closer in the last two or three years than in the previous 50. So far, it's all stuff I can compensate for with extra attention, but when it reaches the point that I really can't do it, I'll stop driving.
As for the bike, screw it. If you don't want to risk getting run over by a geezer, stay clear.