When I read the OP, I didn't get the impression he was actually pushing on the post hole digger itself. I took it as he was pushing how deep he could make it dig, and he eventually got it deep enough to stall out the PTO, but he didn't say if that actually stalled out the engine.
Is the bit on the auger a new, sharp bit? Or a used dull one?? That can make a difference. Sometimes when the crust is really hard packed, you might have to break through the first few inches with a pick axe, then drop the auger in and see if it will dig down.
Not sure why you are concerned about it not being as fast as you thought it would/should be. Boring holes with a PHD takes a little practice. I let mine dig down a foot or so, then pull it back out and let it throw the excess dirt off of the spiral flights, then go back in and dig a little deeper, then repeat by pulling the bit back out and letting it clear itself of the loose dirt. Works for me!
Take your time and learn to work with it. It's still a LOT faster and easier than digging a 3ft deep hole with the manual post hole diggers!