Lots of replies pointing out that the “convincing” might require some coercion. And maybe even a fair bit of violence. I don’t necessarily disagree.
It gets a bit dicier when we get to the specifics of who should be on the receiving end of that coercive violence: call me old-fashioned but I get a little uneasy whenever people come up with the one case where maybe we can just do away with democracy “for the greater good”. End, means, all that.
My proposal is a lot more modest: