I think the idea of trying to convince the other is flawed in itself.

In recent years I've come to this conclusion as well. For me it's a matter of treating people the way I want to be treated — like an intelligent adult who can make their own decisions. I'm all too happy to discuss my opinions, but I'm generally not interested in persuading anyone, nor do I want to be persuaded. I am interested in information that is relevant, so that's what I try to offer as well. If that information makes someone consider an idea they had not considered before, great! If not, that's honestly fine, too.

In movies you can change someone's whole worldview with a rousing 2-minute speech, but in reality I think real change takes months or years. I don't expect to reach a consensus with someone I fundamentally disagree with in the course of a single conversation.

That said, I will admit that in my personal life this approach has its drawbacks. I have been criticized for being too passive and conflict-averse. I won't pretend I have all problems of social dynamics figured out.