This is semantically null. What the heck is "perfect logic"? I think you are misusing the word "logic", because any logic that God could use, humans could use also (with all the usual caveats). What you are saying essentially amounts to saying that mathematics isn't "scalable". Even if not technically wrong as a hypothesis, you seem to be saying that your lack of understanding justifies using unsupported assertions. Kind of like the fallacy of making an argument from incredulity.
This isn't meant to be a flame. More like a "Huh?".
Ok, I think I see what you're saying. OK then I will say that our logic (as long as we exercise it) is the same as God's. But that we lack the will to use it quite frequently.
In addition, since we cannot know everything, our perspective and application of logic is faulty because we cannot take into account all facts.
Yeah... I definitely see the flaw in that. Logic is just... logic.
I guess it would be better just to stick with the "his thoughts are higher than our thoughts and his ways are above our ways" what since it's been around for several thousand years!
How about "humans don't consistently exercise logic, whereas God does."