Awesome thread and fantastic work!
Just a few observations from someone who's been lurking in the thread.
While I know the goal is no overlap, I think Wish needs to be the exception.
I know it's late for this, but with the later spell levels leaning so heavy into Nature=Fey, sleep should go to Druid/Primordial.
Finally, I'd argue that Sorcerer and Bard are the best option for classes that can pick from any of the three pillars. Doing so, I think you could then keep the classes as they are in the PHB, changing nothing but the spell list as presented in this thread (and perhaps giving Warlocks an Eldritch Blast invocation that works as the cantrip does now).