The neo-Darwinian synthesis necessarily entails a particular mechanism that determines (an important word) which changes are reproduced in the next generation of living organisms. This mechanism is called natural selection.
In natural selection, specific circumstances in the environment allow a particular individual to survive and reproduce, passing its mutated genes on to the next generation. Serendipitous conditions in nature, not God, make the “choice” about what survives. Now, if nature is selecting, then God is not selecting. The two are at odds with each other. What could be more obvious?
Either God designs the details, or nature shuffles the deck and natural selection chooses the winning hand. The mechanism is either conscious and intentional (design), or unconscious and unintentional (natural selection). Creation is teleological; it has a purpose, a goal, an end. Evolution is accidental, like a straight flush dealt to a poker rookie.
Theistic evolution means design by chance. That’s like a square circle--there is no such thing. Blending Darwinian evolution with creation is like putting a square peg in a round hole. It just doesn’t fit.
The real question is whether the evidence supports evolution or not, not whether we can baptize evolution with the word "God" so Christians feel comfortable or gain acceptance of some kind. Evolution is more about philosophy than the science - the philosophy of materialism. There is a fundamental clash of worldviews and philosophy between evolution and Christianity.
You can read a full argument against this view in a past issue of Solid Ground.