You seem eager to include the supernatural into science.
Isn't it incumbent upon you to define what you think the term supernatural means?
No I'm not. I'd like to think that if there is such a thing as the supernatural, sooner or later science would be able to figure out if it was there. If it turns out that indeed, in the beginning God created the heavens and the earth, science has to say "Look, we're science here. We can't say that." And people in science have compromised the religious neutrality of science from the negative side, when the argue that the evidence of evolution shows us a world without design.
I am inclined to think there's some merit in the "in fact" arguments against ID. In fact, they are a long way from establishing their claims, and should probably stop blowing the public relations trumpet so loud and come up with some results. I know that the Dover people were trying to get a stronger ID presence in their science curriculum than even the DI was ready to endorse, and that has a lot to do with why they lost.
But to argue that ID claims are "in principle" pseudoscientific means that we know what it is for something to be supernatural and that whatever that is, it can't be included within science. So if a ghost bites you on the nose, science has to say "We don't know what happened." That's a bit much for me.