Gonna have to stop you there.
If Nature is fundamentally chaotic, then nothing within Nature can possibly impose order upon it. It would be a violation of the "nature of Nature"; like trying to extract the quantity of five from the combination of two instances of two. If Nature is chaotic, yet order exists, then order is supernatural. If Nature is chaotic and there is no supernatural, then there is, quite simply, no order at all, anywhere, in any form, or to any extent. The other possibility is that Nature is ordered. I see the ability of people to perceive order as proof of the Universe's inherent order. If there were no such thing as order, then we would be as incapable of imagining an ordered Nature as we are incapable of imagining a world in which 2+2 could equal anything but 4. It is impossible to conceptualize a non-concept; something which, in absolute terms, cannot exist. Which leads me to my reason for believing in a creator-God: order cannot be "created" by something as fundamentally chaotic as pure accident. Which demonstrates to me that Nature, which evidently is ordered, originates from a causal agent possessing a will; Reason, and intelligence.
TL;DR version: I can't speak for everyone else, but your theory of why I believe what I believe is factually wrong, and can be so proven axiomatically.