Same folks doing both?
Exactly.
Ordinary people who find a riot and looting exploding all around them — their homes and places of work — should shoot rioters and looter and not wait for the government to save them.
And I would expect it to cut down on vandalism later.
Back to opposing rioters, it would actually be beneficial to form neighborhood groups AND perform some degree of training together when it comes to mustering, forming defensive barriers and positions as well as establish actual rules of engagement to at least try and rope in inevitable idiots you cannot identify before hand and relegate to support positions where they will get the group in less trouble.
The best way to not have to shoot rioters is for them to decide to go somewhere else, you see. Knowing they may suffer harm if they riot in your neighborhood encourages them to do just that.