I'm that dude Volman references above. As bad as things have been, I'd be shocked if it comes to that even now. Stay out of the known pockets of disturbances/riots. Should be good. I did pass on walking my dog last Saturday/Sunday here in Nashville tho. I live about 3 miles from the action. As soon as the police got serious, it was over.
Oh I'm not that worried about it, definitely not in the part of town I live in. I went on travel for the government for 4 days one time, came home to find my garage door still up and nothing was missing. On other occasions I have gone on long trips and left my front door unlocked, still nothing missing!
However when a huge tornado (actually multiple tornadoes) tore through Huntsville in 2011 and knocked down the only high voltage lines from Brown's Ferry Nuclear plant, and Huntsville was powerless for over a week, I did get my rifle out, clean it, and even held it while looking out my upstairs window one night when sirens came close to my house, but I was definitely aware I was overeacting, it was just kind of fun to imagine looters coming down by street and having to fend them off, kind of like the little kid in a Chistmas story, but with a real gun.
In the event, crime did increase in Huntsville the first couple days as professional thieves tried their luck, but the city declared a curfew and got that under control ASAP. Really not much happened, but Huntsville is mostly a conservative city full of engineers, who are not known (generally) to be thugs.