The answer to 'Why should I trust an autonomous vehicles with the lives of my family' shouldn't be 'cars deciding for us will, in the long run, be better for society'.
No, it should be: "Because it's a better driver than you and your chances of getting involved in an accident are lower than if you were driving yourself." Addition for the ultra-selfish: "And if something happens when the car drives, you can't be held liable for it."
When you don't consider the human psychology and societal norms about stuff like this, you get anti-LGBTQ bigots, anti-vaccination parents, and anti-GMO activists. No amount of evidence in the world will change the minds of these groups. And yet they delayed the rights of LGBTQ individuals, caused outbreaks that killed children, and denied the farmers of starving communities access to critically-needed seeds. They hurt people, because we sat on high horses and didn't know how to empathize with their very real fears.
This is the more important part. Even if you show evidence and counter-evidence, even if you can prove without a doubt that you are right, that won't change the opinion of the common idiot. They will say that you try to manipulate them, you are already a robot yourself, whatever bullshit they can come up with to uphold their own worldview.
The UK is an example of this with the Brexit decision.
Though the people who were trying to think of themselves forgot everything that will change for the worse if Britain leaves. Progressive or selfish, the correct decision in every case would've been to stay in the EU. Brexit is the result of misinformation, populism and fear-mongering, not of selfish people being rationally selfish.