In order to understand what the supernatural is, we need to understand what it is to be natural. I have developed a definition of what is natural, which has to do with there not being any mental explanations at the basic level of analysis. If something normative, subjective/perspectival, purposive, or intentional is at the basic level of analysis, then it isn't naturalistic according to my definition. This is, I take it, the basis of what I call the skyhook ban, based on the cranes/skyhooks distinction from Dennett's Darwin's Dangerous Idea. I have also developed the argument that if everything is natural in this sense, then reasoning and science itself are impossible.
However, I am open to the possibility that this definition of the natural might be rejected. It is the naturalist who needs the notion of the supernatural, because they need to know what to exclude from their worldview. If it turns out that my Christian ontology is real, but that it's all really natural in some sense and therefore not supernatural, I don't really care. Thus, for example, the attempt to exclude all theistic explanations from science on the grounds that they are supernatural is, I believe, a fundamental error. Therefore, I am inclined to reject all "demarcationist" arguments against creationism and intelligent design, even though I don't necessarily advocate those positions. We could in theory discover laws governing what to expect from God, and include those in science. The fact that that would "naturalize" God doesn't bother me in the slightest.