Conscious means "having an awareness of one's inner and outer worlds; mentally perceptive, awake, mindful." So "conscious business" might mean, engaging in an occupation, work, or trade in a mindful, awake fashion. This implies, of course, that many people do not do so. In my experience, that is often the case. So I would definitely be in favor of conscious business; or conscious anything, for that matter.
In good novelistic fashion, the discovery I’ve made is that it’s complicated. I think that’s one of good things about exploring these questions in a non-polemic, fictional way: you get to feel out territory rather than take positions. Through writing this, I can understand the impulse to faith, how people make meaning, how people make community, without having to say, do this, don’t do that, or I believe, I don’t believe.