writersoul,
You misunderstood the paragraph. He isn’t saying “I believe that Neo-Darwinian mechanisms account for macroevolution, I just can’t fathom it in practical terms.” He is saying that scientifically speaking the multiple mutations that would have to happen in concert for macroevolution to occur (as opposed to micro which can happen with one or two point [at most] mutations), is so unlikely as to require a separate explanation or at least some demonstration of its occurrence.
and
“I simply do not understand, chemically, how macroevolution could have happened.”
I should point out again, that evolution is not a matter of years but a matter of generations. Furthermore, because we have fossils we can discuss evolution as between point A and point B. We don’t have to be swept away by the grand scheme of life on Earth.
Frankly, I think the evidence is pretty strong that Natural Selection acting on random mutation (aka the Neo-Darwinian synthesis) is not sufficient to account for the complexity of life on Earth or the fossil record. I suspect the reason it still stands as the dominant theory is not because of its strength but because it has no serious competitors.