I agree that some defenders of ID worry about these things. ID as a theory of design detection, however, isn’t concerned with them.
And again, the point is not that mechanism as such counts against God. Newton provided mechanisms for the working of the solar system, and all or most ID proponents, and most religious people, see that sort of mechanism as evidence for God, not against him. It is only mechanisms which allegedly make not only miracles but any plan or design behind nature superfluous (or impossible) that religious people might find threatening. Note that Denton’s conception is in some ways as mechanical as Dawkins’s, but the people who are threatened by Dawkins aren’t threatened by Denton. It is not “mechanism” that is the bogeyman for religious people, but “chance.”