That is something for which you have provided no evidence. Even the name "Moses" echoes the names of the Pharaohs of his era. This is hardly likely to have been invented out of thin air, nearly 1000 years after the event, somewhere in Babylon, as your fiction presupposes. And although the documentation is sparse, there is documentation that totally refutes your "overwhelming evidence" theory. The bigger the lie, the more likely it is to be believed, eh?
"In the Amarna Tables, the "Habiru" are the Hebrews during the conquest of 1406 BC: "The Habiru are now capturing the fortresses of the Pharaoh. Not a single governor remains among them to my lord the King: all have perished. Zimrida of Lachish has been killed. May the King send help. Lo, if no reinforcements come this year, all the countries of my lord the King will be utterly destroyed. ... The land of the King is lost to the Habiru. And now indeed a city of the territory of Jerusalem, Bet-Ninib, has been captured. ... After taking the city of Rubuda, they are now attempting to take Jerusalem... , What have I done against my lord the King, that thou lovest the Habiru, and hatest the governors? ... The Habiru have wasted all the territory of the King', and so on." (Amarna Tablet, A Letter from Abdu-Heba of Jerusalem, EA 286) "They are now attempting to take Jerusalem. ... Gezer, Ashkelon, and Lachish have given oil, food, and supplies to the Habiru. ... Labaya and the land of Shechem have given all to the Habiru." (Amarna Tablet, A Letter from Abdu-Heba, EA 287)"
New Evidence for Thutmose III as Exodus Pharaoh in 1446 BC