This is almost correct. Dumping hot-button terms and terms which, as used by you, are “loaded” with your preferred notions, we get something like this:
“Creationism – when used alone, without adjectives in front of it – is, in popular US discussions of origins, the belief that evolution (in the sense of descent of man and all other species via modification of unicellular creatures) has not happened, explicitly motivated by the belief that the true account of origins is given with more or less literal accuracy in the early chapters of Genesis.”
and:
“Scientific creationism” (also sometimes known as “creation science”), is, in popular US discussions of origins, the belief that evolution (in the sense of descent of man and all species via modification of unicellular creatures) has not happened, motivated (though often without the motivation explicitly stated) by the belief that the true account of origins is given with more or less literal accuracy in the early chapters of Genesis, but differing from simple creationism in that the former restricts itself (when in public debate with religious non-believers) to arguments against evolution that are based solely on scientific findings, without ever appealing to the authority of the Bible or Christian doctrine."
and:
“Intelligent design, understood as a theory or intellectual position regarding nature, is the view that there is evidence in nature that some or all parts of nature required design, not merely some combination of chance and natural laws, in order to come into being. Unlike creationism, it takes no position, explicit or implicit, on whether the account of origins given in the early chapters of Genesis is true, on how Genesis is properly read, or on any other doctrine of revealed religion, and its leaders and supporters include members of a wide range of religious traditions, as well as some who endorse no religion at all. This being the case, its theoretical writings limit themselves to reasoning, solely from the data provided by nature, to the conclusion of design. Note that it is possible to be both an intelligent design proponent and a creationist at the same time and that most intelligent design proponents are also creationists of one type or another; however, the two positions are logically distinct, since the one requires a religious commitment to a nearly literal reading of Genesis whereas the other requires no religious commitment at all.”
There; now you’ve got everything right. I’m glad we finally agree.