Get a ride with someone else from time to time, just to see how petty it seems to anyone other than the driver. It’s obviously not about the need to get to your destination as much as the frustration of being interrupted.
I cannot give real advice untill I test drive my idea. However, being prepared always helps. When I know and pay attention to the fact that although I am late, it will take 10 minutes to circle the block once, I don’t get so frustrated at every car that parks or pulls out.