There was a local case here a few years back that shows what the power of the vote can do. An area near where I live is somewhat rural and has become prone to burglaries and break ins. When I say prone, I mean broken into multiple times during a year. One man who lived there was returning with his wife from grocery shopping and noticed a vehicle pulled behind his work shop. He went inside his home and produced a hunting rifle, then shot into the thief's vehicle as he was driving down his drive way trying to escape. The thief made it onto the main highway, then bled out and died a half mile down the road. The DA for Mobile County decided to prosecute this man for murder. The man was interviewed and said he'd been broken into a dozen times or more just that year and it would take the police two or three hours to come out to fill out reports. No extra patrols, just responding to break ins after the fact. He plead his case that he and many others in the area were so frustrated that they had to take the law into their own hands if the police and the DA wouldn't. There were local petitions where literally thousands were signing saying to free the man due to inaction by local law enforcement, with repeated calls for the DA to be kicked out of office. After a week or two, the case was quietly dropped by the DA, who did in fact serve one more term before retiring. Break ins in that area slowed down afterwards, as well, due in part to thieves being scared of being shot and more concentrated patrols.
Sorry to go off topic, but this does show that we can influence at least our local justice systems into doing what they are paid to do if they want to stay in office or keep their jobs.