ID specifically rejects standard Darwinian evolution, if I recall correctly. (Perhaps it's time for me to hit the books again, instead of shooting from the hip.)
As far as I know - the term "Intelligent design" covers a variety of beliefs that range from outright rejection of Darwinism, to complete acceptance of it. What all variations have in common is the notion that God created life, by virtue of creating the scientific processes which generated life. Creationism is distinct in that it says that God created life directly, and did not resort to scientific processes per se. One variation says that Darwinist "natural selection" is invalid, and that God directs the improvements of evolution specifically. Another says that evolution occurs completely as scientifically understood, but only because "God wills it that way". - MMGB
Maybe we need a chart with categories such as:
These would be overlapping categories, and the various terms could be defined in reference to them. --Ed Poor