Nothing will work to convince an unreasonable person. The next best thing to do involves blunting the impact of their dangerous choices, e.g. adding penalties and restrictions for the unvaccinated in society so they can't harm the rest of us.
The people I know are far from unreasonable, but they might be applying the wrong reasoning strategy or fixating on bad / outdated data, or worst case outcome only.
Nobody in the general population has the obligation to convince others, to be clear. I just wish the public discourse and institutions did a better job at educating and catering to those points of view instead of branding people by their against-vaccine stance only.