I can 100% guarantee Kakashi had no intervention with Obito, and he did not Genjutsu him.
They simply are connected by their eyes, and he can see what Obito sees.
You clearly didn't understand the chapter before this one, where it set this whole situation up. It was specifically stated Obito had always been questioning his motives and was only fighting Naruto to find an answer to that question. After multiple fights, Obito is finally seeing that Naruto is right. That is all.
This theory is garbage. You made me say it.