Yes, I agree Redford has written quite a lot on the subject. Obviously, I have this book 'The Heretic King'. Actually, I think he has written the whole thing from a very biased standpoint. He says some very unpleasant things about the way Akhenaten looks. It is almost as though he was a priest in the old Egyptian religions.Deut. 10:19 said:Because Exodus is folklore and monotheism (as opposed to henotheism) looks very much like a late development and the result of conflating the West Semitic El of the North with the YHWH cult introduced from the land of the Shasu (Biblical Edom).
As for some relationship between Pharoah and Moses, one can speculate along with Redford, editor in chief of the Oxford Encyclopedia of Ancient Egypt and leading authority on Akhenaten, that Exodus is a carefully crafted revisionist lore inverting Egypt's expulsion of the Hyksos - where Egypt's ka-Mose becomes Moses and the defeated Asiatics (Hyksos, Apiru, Shasu) are reframed as the victorious Israelites.
Akhenaten was a heretic as much as Jesus was. He was simply challenging the status quo, and telling people to move on. However, Redford does confirm that it was the father Amenosis lll who has the dream where he claims God says he has been chosen to be His son. That seems to be what has kicked it off. He does also give quite a lot of evidence about people who could possibly have been Moses, but does not rate any of it. Of course, he could be right, but anybody who is so biased against the individual (I never understood that) has got to be read with a degree of scepticism.
If I hypothesised a completely invented conversation between God and Akhenaten, it could be; "well Son you have tried your best, but they will not listen. It is time to cut your losses and get out of there with our disciples. Go across the red Sea and settle there. It is a bit bleak, and a bit barren and uninviting, but there are few people there (LDS should recognise that dilemma). Here you can establish a new religion and a new community."
Obviously, I made that up just to illustrate the way things might have been. But certainly even Redford admits that there were people within the Royal circle that are very high-ranking foreigners who do look similar in background to Moses. It is highly unlikely they would have achieved any elevated rank unless they were hundred percent behind the new religion.
I just set it out as a possibility.