The laws of physics make evolution by random mutation and natural selection incompatible with the notion of creation - even by foresight - via divine means. It's physically impossible, due to Bell's Inequality, for your putative god to know, in advance, what the outcome of randomness in the universe would be.
It's not a function of God's ability or inability; Bell's Inequality puts a constraint on the actual nature of the universe, such that randomness isn't simply our inability to understand or perceive a hidden determinism, it's that no such hidden determinism actually exists. The knowledge that God would have to have simply doesn't exist. It's a constraint of the physical universe.
Random mutation truly is random - i.e., non-deterministic and unpredictable except stochastically. God would have to have true deterministic knowledge of the outcome of random mutations in order to "create by means of evolution" and that, as we've seen, is an impossibility. (Also, gods are known to not exist.)
The reason we say "Creation Vs. Evolution" is because the two views are fundamentally incompatible; evolution by random mutation and natural selection in a Bell's Inequality universe precludes the notion that this is all the result of divine planning.
This seems wrong in terms of theology, physics,
and biology.
A theologian would tell you that God does not know the future by accurately extrapolating from the present, but rather by seeing it happen from the perspective of eternity.
A physicist would tell you that Bell's inequality only shows that a theory of
local hidden variables can't account for quantum mechanics. There'd be nothing to stop an omniscient God from observing Bohm's quantum potential.
As for biology, there is no need whatsoever for the mutations to be random in the sense of genuinely non-deterministic. They could be as deterministic as a coin toss in classical mechanics; it makes no difference. (Note that everyone who simulates evolution on a computer uses a completely deterministic pseudorandom number generator rather than some elaborate quantum device.) So even if some theist was fussed by the idea of non-determinism, he'd need to deny, not evolution in general, nor random mutation in particular, but rather the Copenhagen Interpretation.
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