Every single time I get in a vehicle, the people coming towards me might be talking on their phone, drunk or whatever. There is a very real chance I will be injured or killed on a daily basis even if I drive perfectly, and nothing beyond my abilities happens.
In the same way that seat belts and airbags and automatic braking improved safety, imperfect self-driving cars will improve overall safety.
The important thing to note is that seat belts, airbags and automatic braking a far from perfect, and thousands of people a year still die even though they are using them. People still use them, because it is safer than the alternative - which imperfect self driving cars will be too.
People will not accept a computer driver, even if it manages a significant improvement on the current rate of car accidents, because there is a real psychological barrier. Your counterargument of "but it's an improvement" would miss that point.
Humans are prone to all sorts of fallacies, especially surrounding "destiny" and our own influence over our lives - that's why ideas like "bad things happen to bad people" are so popular. That kind of problem is not surmountable by statistical fact. You cannot sway the majority of road users to trust a machine that way. They want to be in control, because it makes them feel something that the computer can't - safe in their own hands.
In your opinion.
We can't know what people will accept, because we've never tried something like this before.
I've pointed out my view, and you've pointed out yours. Time will be the only way to see what people are willing to accept, or not.
Yes, they certainly are, but those people also vote. You can't just ignore them and their idiotic arguments, unless you live in a techno-authoritarian nation where things like this are forced on the populace against their will (even if their will is stupid). This is the whole problem here; you can't just convince everyone with a technical argument, because most people are non-technical, emotional, and frequently quite stupid, but they also have a say in decisions.