Just FYI, although theologically guided evolution is more accurate than creationism, it's still a couple steps short of the actual theory of evolution we have today.
The modern theory of evolution simply has no place for God to stick his fingers in. There's no mechanism in it by which divine intervention could happen, and in all the data we have gathered (and there's a lot of data) there are absolutely no divine fingerprints.
In order to argue that the modern theory of evolution is "in no way incompatible with the belief that God ... Has guided the process", you must use the same dodges and evasions that young earth creationists do - "oh, God just made it look natural, secretly he's doing all the heavy lifting", "God's just sneaky, putting in all that fossil DNA to make it look like this happened naturally".
Basically, theological evolution is not compatible with the modern theory of evolution, except in the playground "You can't prove he didn't!" way, and arguing that it is is wrong and misleading.