The map clearly states its a private driveway, so if someone cant read the map and is trespassing on your property, then thats something the police need to deal with. OpenStreetMap is meant to be a open map of the whole world, including driveways. I dont care if your driveway is there or not, but eventually someone will re-add it, and if you get into a back and forth edit war with them, youll be the one who is banned for deleting correct data, unfortunately, as its considered a form of vandalism (https://wiki.openstreetmap.org/wiki/Vandalism).
So again, if someone incorrectly thinks that your driveway is public when the map clearly shows it isnt, then thats something law enforcement will need to deal with, thats not really something we can control