From Ranger Dave:
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#3 308 win dropes 25.7 m.o.a. at 1k most good scopes will only give you 10 m.o.a. of adjustment so you have to use a 20 m.o.a. base to rase the frount of the scope witch means you cant whitch ranges say a deer comes out at say 200 yards your hold under is about 6 feet . #5 a bullet fired at 2500 fps ( thats 833 yards per sec.) and slowing down the while time takes 2 .68 sec to reach the target . so you have to aim where the deer will be at in 3 sec now for my rant the 1k shot is the new buzz now yes they have 1k matches but you are trying to hit the center of a 10 foot target witch is not to hard to see cause its big and white.
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RangerDave, you need to check your numbers for the .308's ballistics, modern scope adjustment ranges and high power rifle target sizes. Those you've mentioned are quite a bit off the mark.
A 180-gr. spitzer boattail bullet leaving a .308 Win. case drops about 440 inches or 44 MOA at 1000 yards and it takes about 1.7 seconds to get there. And even the service sights on M14's and 7.62 NATO converted M1's need about 46 clicks up from boresight (they're a tiny bit less than exactly 1 MOA per elevation click) to strike center with M118 match ammo on a 1000 yard NRA LR target whose size is 6 foot square (the old 10-foot wide military 'C' 1000 yard targets went away about 100 years ago).
Regarding the M1A's (or M14NM, whose receiver the M1A was copied from 'cause it doesn't accept the full auto adapter) ability to shoot well at 1000 yards, it (they) sure are capable. Best accuracy I know of from service team members and top civilians winning matches and setting records with them shooting handloaded ammo (new cases, not resized fired ones which are not good for accuracy) is about 8 to 9 inches at 1000 yards. 7.62 NATO converted Garands did as well; may be a bit better. But it takes the best barrels chambered and fit properly along with all the other parts being perfectly matched to the barreled receiver. And these rifle's have to be shot single load/fire for best accuracy; they change point of impact a bit as a full magazine starts getting empty. Just don't load more than 10 rounds in the magazine if you need to have several back up shots ready.