The 'can't get any bird shots sharp' doesn't sound right. It simply lacks flatness of field at close distances, but it should be extremely sharp if you photograph a bowl

The Nikon 70-200mm f2.8 is exactly the same and both of them get even worse when used full frame. I recently used the Canon and it seemed better in this respect.
If you think a 1.5X digital crop shows severe field curvature, wait for the Alpha 900.
However, no-one is likely to believe me on this score - some owners will deny there is any issue no matter what their eyes say.
I am perfectly happy with my 70-200mm Minolta SSM (same issues exactly) because its real job is not to shoot the ground at my feet at full aperture.
It is important to get the subject centered, and use the centre focus sensor with the 70-200mm f2.8. If you use any of the offset AF sensors, you may get the centre totally unfocused at closer distances.
David