Grandmastersexsay :
Having more low end torque simply gives you more low end horsepower, which equals more average horsepower, or more power under the curve. Horsepower dictates your rate of acceleration, not torque.
Thanks for the physics lesson - you had it almost right, though, until you said that Horsepower dictates your rate of acceleration - wrong.
You actually answered your own question. F=M*A, so conversely, A = F/M. Torque is angular force. So, angular or rotational acceleration is proportional to Torque, not Power. The key, though, is that Torque at the wheels is what matters. Therefore, rotational horsepower of an engine can be applied through the appropriate rotational speed reduction (in the transmission) to result in the greatest amount of Torque at the wheel.
But ultimately, Torque at the wheel results in acceleration.