Exodus 2:19 makes it plain that Moses was not an Israelite -- stating specifically that he was "an Egyptian". The Hebrew chronicler, Josephus, also agreed with this, stating that Moses had been educated by the priests of Heliopolis, and had commanded the Egyptian army against the Ethiopians.
"Moses" was an Egyptian titular distinction, rather than a name (the Greek variation was Mosis), and it meant "heir of" -- as in Tuthmosis, Amenmoses, etc. In practice, every crown prince and pharaoh was a Moses.
The first person (as far as I know) to draw a direct connection between Akhenaten and the biblical Moses was Sigmund Freud, who wrote a thesis on the derivation of the name. Ahmed Osman took this up later, and further expanded the research.
I've written at some length about the Moses/Akhenaten connection in my books, and everything points to Freud and Osman being correct. The Egyptian Court dictates to slay the boy children of junior Queen Tiye (Akhenaten's mother, in Israelite descent from the Israelite House of Levi) are just as are told in the Bible regarding the threat to the baby Moses.
The biblical story of the baby in the ark of rushes seems, however, seems to have been purloined from the older Sumerian legend of Sharru-kin, which is identical. Queen Tiye was, nevertheless, obliged to have her second son in secret after her first son was indeed killed by the senior Queen's palace guard.
Tiye had her second son (Amenhotep IV/Akhenaten) raised by Israelite midwives at her palace in Zaru, and later educated by the priests of Heliopolis, precisely in accordance with the writings of Josephus.