Perhaps surprisingly for the ultimate rationalist, I agree with you on the "emanations". I just wouldn't use a word like divine.
Everything is, and always will be, inescapably the result of Big Bang (or big bounce, or whatever theory works at any given time). Free will is just nudging a couple of tiny things a very little bit, and it will self-correct in due course.
The small parts if the universe we've been able to examine contain gorgeous monstrosities of vast power, exponentially more awe-inspiring than any deity invented by humans. Their literal emanations impact our world, and each of our lives, all the time.
The spaces between particles are made of stuff we can't see or explain but can measure - and such stuff forms the greater part of everything. It's really fucking amazing.
If the ancients had known of all this, they would've had to invent gods even more mysterious, more terrifying, than what they did invent. Good thing they didn't, eh? The ones they came up with, based on terrestrial events, are bad enough!
So we're on similar pages here, with an impartial force exerting unstoppable influences on Earthly life. Just framing it differently 🙃