I didn't say do what they say, or let them push you around. Just let them act how they want to act, and then go with what you know. Why does it matter to me if someone acts superior about a topic if I have my own confidence in what I know?

Because they will persuade people who don't know any better.

Just present how you see things and try to persuade them of your view then. Don’t worry about how good the other person thinks they are.