One option for dealing with people on opposite sides of a bridge spanning some chasm, whether it's religious or political, is to realize there's no need to cross the bridge to interact in positive ways with each other. I don't care if the other person voted for Trump, Hillary, someone else, or nobody at all. I hope it won't influence how I treat them as a person because we can still love and care for others even when we disagree with things they say or choices they make.
As far as religion, I like a comment I recently saw about following the teachings of the Holy Trinity:
The Father: Mr. Fred Rogers
: "When I was a boy and I would see scary things in the news, my mother would say to me, 'Look for the helpers. You will always find people who are helping.' To this day, especially in times of "disaster," I remember my mother's words and I am always comforted by realizing that there are still so many helpers—so many caring people in this world."
The Son: Steve Irwin
: "We don’t own the planet Earth, we belong to it. And we must share it with our wildlife." "All you have to do in life is be passionate and enthusiastic and you will have a wonderful life."
and The Holy Spirit: Bob Ross
: "We don't make mistakes; we just have happy accidents." "I guess I’m a little weird. I like to talk to trees and animals. That’s okay though; I have more fun than most people." "Be kind to yourself."