It really scares me.

[Mudhammam]

I would say instead that the universe does not preclude evolutionary processes under certain local conditions.

That's kind of the idea, these local conditions exist because the universe is precisely set in such a way for these local condition to exist in the first place, matter, planets, stars, galaxies all the necessary elements and so on. As far as the creation of life and civilization is concerned that's all God needed to do you just have to set the ball rolling, all the natural processes in motion. This doesn't have to be deism either as there would be nothing stopping this intelligence behind the creation of the universe from revealing himself to the creatures he intentionally made. I'll grant you that it's still technically possible that all of this was an immense fluke of pure blind coincidence but we're going to disagree on whether it actually is.

Yes, creation myths are as old as written texts. The problem is that they are always wrong because they were posited by people who were ignorant of the facts, similar to your speculation about a Creator. Who says it is blind coincidence? The laws of physics don't need a God to be ordered in such a way; as it seems, these laws are the only constants possible for our universe to exist. Perhaps other universes with other laws exist too. Why not put your "faith" in math and stop there? It's worked out pretty well for us thus far.