The metaphor of the haunted house can mean different things here. You seem to be taking it to mean that life is what haunts nature (the house). I'm taking it to mean, rather, that life is what wanders through the house and is terrorized by the ghosts that haunt it, ghostliness being the eeriness of godless physicality.
I've addressed that key question elsewhere, about the extent to which life and personhood specifically are "part of nature." Philosophical naturalism entails that metaphysically, everything is natural. But there's another sense of "natural" that makes for a crucial dichotomy between nature-as-the-wilderness, and artificiality. With that in mind, people are unnatural in that we adopt an anti-natural existential stance towards everything that's wild and uncivilized. This is the stance of terraforming.
So I'd say that although we emerge from nature, our personal qualities alienate us from that which is impersonal (from the godless universe at large).