Keep in mind 1000 yards isn't a mile. A mile is 5,280 feet, 1000 yards is only about 3000 (about 3 feet to a yard). So seeing something 1000 yards out is still only 3/5ths of a mile (a little more than half a mile). Closer than you think.
I have 20/20 eyes as well (only person in my family, actually, I lucked out!). I also live under the traffic pattern of a smaller airport. I get lears and twins over my backyard every day. Some of these guys are at least 5k or more (as the airport is a long way off, they're still on approach), but I can not only make out gear doors, passenger window, but oil streaks on engines and individual colors (blue stripes from the nose to the tail, and what-not).
I don't think SEEING at that range is hard. Hell a lot of WW2 ace pilots had better than 20/20 vision. I think SEEING it would be the easy part, even at greater ranges. But like FX said, we don't have wind in AH. We don't have a lot of things that would hamper long-range sniping. Effective range ("pull the trigger and it dies") was much closer in reality. So, no, you couldn't pull this off if it were totally realistic, but you'd be able to SEE better than what you see here. Here you just see black lines of pixels.