My first thought is that knocking drones out of the sky (not necessarily to steal their contents) could become the new fun activity for bored juvenile delinquents.
If drones become the common place, why should any one steal them.
Honestly its a 18th century person using horse carriages saying cars becoming common will lead to rampant car theft. If something is freely available the motivation to steal it drops.
Presumably they'll have GPS and will phone home constantly- if someone shoots it down/hits it with a thrown ball/etc Amazon will probably send someone out to find it. If they find it mounted on someone's wall like a hunting trophy they'll call the police.
Shoot it down, take out the battery, put it in a faraday cage bag and sell it to the blackhat hardware modder. It ain't pretty but a few of those, and you can afford both food and mortage. You got to live off something, and jobs have been hard to come by since The Automatization. </story>
