I thoroughly agree with what you say, but I'm sad you haven't studied the bilateral mind enough to understand how to account for language.

Language is a human technology, one of the first, invented by the constructive left hemisphere, which isn't bound by the requirements of continuity enforced in the right hemisphere. After it was invented, both the left and right hemispheres evolved to use and expand it.

This account is entirely analogous to the inability to explain how humans evolved from bacteria. We didn't: we evolved from LECA, which was constructed by prokaryotes, and LECA was a biological accident/invention.