The author has a huge blindspot: discussing politics with others where it's not a co-operative search for truth; instead it's an opportunity to let your friends explain themselves. Don't challenge them, ask them questions. Let them talk it out. Offer your own observations not as ways to change their minds but as an invitation to elaborate and explore.
You don't need to share your opinions in every conversation. You don't need to challenge another's beliefs that you disagree with or think are factually wrong. You can bond over listening to them. And they can invite you to share your thinking non-judgementally.