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.
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.