Anyone who would even have a prayer of shooting at that distance is already a very experienced and practiced shooter and they already know exactly what type of firearm and ammo (most likely self loaded match grade) they need and want. For the typical shooter and certainly the novice focusing on a gun with the ability to shoot true at that distance is a fools errand. A bolt action or even semi-auto chambered in 308 or 30.06 should take care of all your needs and the ammo is widely available. One should take care, though, in shooting such a rifle in urban or even suburban areas - it would be quite easy to take out someone you didn't intend or even see.
My searches are showing a lower muzzle velocity for the Mosin-Nagant than the .308, which is lower than the .30-06, which is still significantly lower than the 300 WINMAG.
Surely muzzle velocity = range? Some of he drops I’m seeing for some of these rifles at 1000 yards are crazy too.