>I'm probably way off the mark here, but my instinct tells me there's nothing intrinsic about the human condition that makes it the exclusive vessel of thought.

I'm in your boat. Molecular biology looks quite analogous to something like Conway's Game of Life, but a particle automaton with freedom in 3D space rather than cells in a fixed 2D aetheric grid.

Conway's Game of Life is Turing complete, the fundamental laws/algorithms are simple. Per Wolfram (NKS), you don't need complex algorithms in order to exhibit complex behavior. GoL is just four rules and a[n infinite] grid. Wolfram's automata are simpler.

I will go even further out 'there' and state that we are the equivalent to Greek "city-gods" which arise out of the polity/demos composing them, except our polities are little biological von Neumann machines acting in concert to emerge us in their aggregate. What most people think of as 'god' being some top-down omniscient/omnipotent creator entity, I think is wrong and reverses the true heirarchy of nature. The fabric of spacetime, the quantum field, or whatever emerges it from a lower level with its fixed simple rules, is the primary force driving the universe's [and our] existence. If there are gods, we are categorically much closer to them in form than the pious fanatics say!

(Disclosure: I am petulantly Atheist.)