The issue with the materialist story is that it first assumes that intelligence is nothing but material interactions and then concludes that intelligence was engendered from inert things. Is there any evidence of that?
YMMV.
You say that there's an issue with the materialist story, but you have somehow failed to illuminate what this particular issue is. Almost makes it seem like YOU have an issue with it.
But yes. There is evidence of it. I know you don't like evidence that supports the materialistic view but if we talk about evidence here you're either going to have "materialistic" evidence or you have nothing.
I think it's a fool's errand to try to discredit materialism by supernatural arguments...
And aren't you first assuming something here:
"But if we had wisdom to start with"
I'm a Buddhist. But I think it's not constructive to try to wish away inconvenient evidence. And like you have been told (with supporting links) in other threads there is evidence that life can arise from "nonliving" matter.
My personal view is that depending on perspective, there is very little difference between living and nonliving things.