As we start to understand neurology sufficiently to simulate it, the two fields are converging. Eventually (soon?) they'll be seen as sub-fields of the study of intelligence.
(As for your fusing neural organoids to computers, there was a sci-fi story I read years ago that used this theme. There were human-level AIs that needed some integrated organic grey matter to perform some of their higher level functions. Wish I could remember what it was - although that description probably covers half a dozen stories by now.)