TLDR:
I think for me I would say I believe nature to be an expandable concept. Certainly the idea of other forms of consciousness is an idea that fits within nature. The idea that there may be areas outside the closed system of our universe that can interact with us is an interesting one and could work as an explanation for god, but in explaining god you reduce god to the natural. I'm capable of imagining some alternate universe idea where the laws of nature act in a different fashion, but I think the thing to do would be to expand the definition of "natural" to cover those areas as.
The idea of a god is a religious one. Most religious people at least pay lip service the the modern major organized religions that endorse dogmatic views that discourage investigation and that discourage the search for explanation from nature. That's what repulses me. Most religions have a stance that they believe there is a god and that he is believed to have accomplished acts X, Y, and Z and to have said words A, B, and C, and that he wishes us to do 1, 2, and 3. Any questioning of X, Y, Z, A, B, C, 1, 2, or 3 is heresy. God is employed as a conceptual enforcer of the dogma. For articles of faith that beg explanation the answer is that "who are we to question God?" For articles of faith that conflict with nature the riposte is that "God acts in mysterious ways, and that God trumps science." For the religious, God is an ultimate point from which further questions are unnecessary and in fact morally wrong. For one who likes to search for explanations, God represents the ultimate throwing up of one's hands and an abandonment of the search.
Of course there's also a more basic religious belief of god than that of the organized religions. Take Agnosticism, for example. Many agnostics would doubtless bristle at the idea that they held a religious belief of god, but I think the description is an accurate one. Agnosticism purports to endorse the view that whether or not god exists is an unknowable thing. The Agnostic's very use of the term "god," however is telling. If we follow the view that God may exist in some form that our modern science can't explain and that he is unbound by our natural laws because he is outside of our closed universe, then we can say very little about God, however the concept of a god does not allow it's use for natural concepts like "gravity" or "oxidation" or "evolution." So we can narrow down the extra-universal area of what could be god a little. By definition, God is an entity. The concept of god also doesn't allow it's use for sterile natural objects like "a pulsar" or "iron" or "a photon." By definition, God is a conscious entity. Other godly attributes are necessarily assignable as well, such as "importance," "power," and possibly even "beneficence." After all, the term connotes an importance that transcends simply the definition of the "conscious entity." If our universe were doubled, surely our doubles in the other universe would not be gods. In other words "god" is not a term that is used to refer simply to generic extra-universal conscious entities. So the Agnostic view is that whether or not an important powerful conscious entity of probable beneficence exists outside of our closed universe is unknowable.
Considering that nothing outside of our closed universe is knowable, the fact that we are able to assign by definition attributes to a concept like God evokes the concept of the vanishingly small probability. Considering that we are totally unknowing about matters beyond the closed universe we inhabit, the idea that we know anything about anything extra-universal is a virtual impossibility. The agnostic is forced then to dwell in the 0.01% virtual fingernail of uncertainty that exists simply due to the fact that because we know nothing, anything we suggest is possible. But is this kind of thing uncommon in the realm of science? Do scientists adopt theories that are merely virtually certain? Or do they require a more rigorous proof before they accept a theory? The answer is that for most scientists the benefit to science that derives from accepting virtually certain theories as accurate by far outweighs the negative effects of ignoring the vanishingly small possibilities.
So why does the science-minded agnostic so emphasize the fact that it is not a total certainty but merely a virtual certainty? The answer, I believe is that the Agnostic assigns great importance to the question. The question of whether there is a god or not is an existence-altering question. It is a foundation-rocking question. And to me this is proof positive that the agnostic holds a religious belief of god. To a non-religious person, the issue would be merely academic, but to one who has latched onto the 0.01% virtual fingernail of uncertainty relating to God's existence the issue is clearly of special significance. That special significance is religion.
What are we left with?
I'm ready to accept that there are things that science cannot yet explain. I'm ready to accept that there could be extra-universal realms where our natural laws fail. I'm ready to expand the definition of nature to cover things that are currently outside of our closed system as well as those that are within our system. I draw the line, however, at making predictions about the characteristics of anything that falls outside of the current corpus scientis. I will happily accept the virtual certainty that something we have imagined to exist outside of our universe does in fact not exist given our limited imaginations and our predilection for inaccurate predictions. And finally, even if we were to be able to know of things outside of our closed system, by the very act of our expansion of "what is natural" to include these things we will have undone everything supernatural about them and we'll have stripped them of the portion of their godly significance that derives from their basic alterity. We'll be left with a natural process that can be understood and we'll have pulled down the beard of the proverbial shopping-mall Santa.