Any other scientific theories you'd care to name with similar qualities?
Well, since Dembski believes that ID is scientifically accurate, and since he believes in God, you can put two and two together as well as I can. What you can't do is make the realistic claim that because a proponent of a particular theory has a religious view surrounding it, any teaching of the theory in a public school is thus tainted as a church/state violation.
It really isn't that hard to look at what's going on in a classroom and see if what's being taught is or is not religion. If they're examining scientific evidence, and not introducing any religious texts or religious dogma, then it's not religion, regardless of how strongly you disagree with the conclusions they're drawing from the evidence.