Conceptually, it's really not as hard as you make it seem. There are layers, but once you peel them away there's only one thing left, which all living things share: the drive to survive (maintain internal state parameters within a certain range by accessing nutrition, protection from environmental elements, security from other survival-seeking entities, reproduction to pass on genes, etc). No need to bring God/gods into it.
There's also no need to specifically mimic humanity's progress; that's just an accident of survival facilitated by opposable thumbs and language ability. We've already made machines with the base abilities, and emulated the drive (see evolutionary algorithms[0] for example). We just need to put it all together in a few units and let them "loose" to evolve on their own for a while. It took humans ~300,000 years to get where we are today; I'm positive that it'll take machines a small fraction of that. Nothing special.
Very little, certainly approximately 0%, of what humanity has done has been driven by base survival instincts. You're describing the process to mimic a roach, not a human.