Other civilizations do have minds, constructed differently. The Gzilt in Hydrogen Sonata have minds constructed by humans after they've passed, with personalities from those people.
1) Not humans, Banks just calls them that in the text of the books, and 2) Any mind derived from a "human like" (even to a very small degree, really human like civilization and evolved) is at a massive disadvantage to a very highly optimized result of recursive self improvement.
They're not based on organics, but that's missing the larger point that realism isn't the point of sci fi like the culture series. It's an imaginary setting the author is using to look at society.