OK, I think I'm starting to actually get what this is about. It is interesting, since we do talk about "God" as a single thing, when in fact God is Three distinct Persons. From there, orthonorm, you seem to wonder how we talk about different people as different things (me, orthonorm, krotok are all different things), but if we all share the same nature, as the Father Son and Spirit share the same nature, are we then not all one being, just as the Trinity is one God?
My understanding is that, in a sense, yes there is a single essence that unites all humanity, and this is how God achieved our salvation, by taking on our nature, which we can then mystically partake of through the Mysteries, even though God was not incarnate in each of our individual persons. And this is surely also part of why we need to see Christ in each other; we need to see how we are all of one essence.
That actually ties in to my original question. The Creation story has God creating all different things and species, but crucially, every living species was also given the ability to regenerate itself afterwards, and I think we're supposed to take that as a distinct process from creation. So wouldn't it be accurate to say, when a new human person is conceived, that a new person has been created, but rather begotten, i.e. the analogy should not be with Creation, but with the eternal begetting of the Son from the Father.
Am I on the right track?