People tend to overestimate how well they understand each other. This is a dangerous mistake to make, because it reinforces false beliefs and blinds us to reality. Your best defense here is humility. When talking to someone who disagrees with you, don’t assume that she doesn’t understand you; assume you don’t understand her. It’s only by realising how little you know, that you get to learn more.
Mindwise (book) by Nicholas Epley
The Seven Habits of Highly Effective People (book, habit #5) by Stephen Covey