I live by the idea that I will not TAKE the right of way...I wait until it's GIVEN. You can not assume that someone else will stop just because you have the right of way...I'd have been flat many times over if I had just taken it because I was supposed to have it. I tell my kids the same thing...wait to see what the other person does.
I had to take a defensive driving class for a job once and there were so many people who really don't know what they are doing. We were asked, if we were on a highway and there was a car coming from the other direction and we had to swerve one way or the other, would we choose to hit the tree on the shoulder or the small car coming from the other direction. I was the ONLY one who said tree. Everyone said they'd choose the car because it's smaller.

They couldn't believe I would choose to hit a big huge tree. The instructor asked me why I said tree...I said "Science...the tree is stationary. I hit it only with the force from the speed of MY car. If I hit the car, we hit with our own force, AND that of the car coming at us." The other people in the class left with a bit more information that day...but most people never take such a class. So most people still think it's better to hit the other car. Or maybe that's just Wyoming drivers.