Tut is Moses's brother by adoption

I think that Akh-en-aten/Khu-n-aton [Akhu-en-aten] is probably Agur-ben-Jakeh of Proverbs 30, which would fit with the Amarna letters being the same time as King David as David Rohl suggests.

Tut is too late in overall history for Moses who is earlier in overall biblical history.

The conventional dates of the Egyptian dynasties are too old/long when compared wit sources like the bible and Herodotus, so the true dates of the dynasties are lower.