In 2015 2.44 million people were injured in car accidents. That's a much more telling figure of just how bad most drivers are. Apparently our cars are just really safe.
Similarily, airplane pilots spend so much time in autopilot mode that they forget how to operate a plane in emergency situations.
20 years ago they redid the traffic pattern where I used to live to something many people found really confusing and many people claimed felt dangerous. A study 2 years later found that, while it was true that accidents on that part of the road had increased, the number of injuries due to accidents had plummeted. A follow up study a few years later found that accidents had dropped back to around their original level and serious injuries where still basically at zero.
There are some truly consistently horrible drivers. But in general most people do ok most of the time. I think the real challenge is cutting of that really bad end of the distribution, which autopilot seems to be doing.
Another factor is the extent to which bad driving doesn't result in an accident, either because of infrastructure, other drivers reacting, or just a lack of cars. For example, most red light runners don't cause a crash because stoplights usually have an all-red period to compensate, there often aren't other cars to crash into, and other cars might brake to avoid crashing into the culprit.
Many crashes require two bad drivers to misbehave at about the same time. For example, I couldn't tell you how many times I've had somebody change lanes into me, but it hasn't (yet) resulted in a crash because I've seen it and gotten out of the way before they hit.