All Godel's theorem says is that a given mathematical system is based on a number of axioms, that is, statements that are given as true, or so called unproven truths. If one wants to prove any of those unproven truths then one must enlarge the systen with new, unproven truths. Therefore, no mathematical system is ever complete.

Now, this is about mathematical systems, not life, not the universe, and therefore, to go from this to prove the existence of God is utterly ridiculous.