"But I'm no more afraid of getting shot by the police than I am of dying in any other unlikely way (terrorist attack, random serial killer, etc.)."

You may be unafraid, but there is an order of magnitude difference between your examples. Serial killers murder about 150 people per year, terrorist attacks killed 19 in 2015. Cops killed 1146 people.

http://www.theguardian.com/us-news/ng-interactive/2015/jun/0...

https://www.fbi.gov/about-us/cjis/ucr/crime-in-the-u.s/2011/...