The way for AI to win over the public is for it not to be used to ruin peoples lives, kill people (autonomous weapons) and exacerbate the climate crisis just so a handful of rich people can get richer.
Even if cancer was solved, those problems would still exist because it's not about betterment of our rae. It's about rich people trying to get richer, everyone knows that, and that's why people hate it.
Edit, I should mention, it's being used to ruin the internet too with "slop".