The place where this kind of thing would be most useful is integrated into a CROWS mount -- a fully automated turret which can be put on top of a vehicle, in static emplacements, etc. Being able to make single, aimed, highly accurate shots on vehicles approaching a checkpoint from a .50bmg mounted on an unattended vehicle up forward would be really nice, since you could then not put any of your own forces at risk, while taking single shots to the engine (to disable the vehicle) vs. unloading on the vehicle with multiple bursts (which would be highly likely to kill the occupants, who may not be "bad guys").
Deskilling the precision marksman job isn't as important -- a real sniper needs huge amounts of other training beyond precision shooting, so the shooting training isn't the biggest barrier there, and the level of skill required for ordinary police 100-200m designated marksman isn't really much for the shooting, so much as for shoot/no shoot, various intermediate/barrier materials, etc.
The only way to do police levels of accuracy at 1000m would be with some kind of actively guided round; they generally won't accept a shot a military sniper would consider acceptable, as it's usually for hostage rescue situations. A military sniper is probably ok with taking a shot where if he misses, another enemy beside the one he's trying to kill gets killed instead, most of the time, as long as his odds of hitting the target are high enough. So those shots can be in the 600-1500m range. I've never heard of police shots beyond 300m. They're usually 50-150m but often with glass or other barrier material between them and the target.