No, there is at least one other option, which is that consciousness [1] is a phenomenon that we can't replicate in non-biological brains [2], but from which the existence of a "God"-like being, as the term is understood by major religions, still doesn't follow.
[1] Or "qualia", to be precise.
[2] For example, the existence of qualia might require certain carbon-based structures which aren't present in silicon-based devices.
Basically the Chinese Room argument. By now clear wrong.
There is nothing that we know of in carbon based structures that violates universal causality, even in quantum scales where causality becomes more vague it is replaced by a measurable randomness.
So there should be no reason we cannot reduce these phenomena to actual quantifiable and there for Computable elements.