I'm just going to quote wikipedia
Since the second half of the 20th century, scholarly consensus has held that applying modern notions of race to ancient Egypt is anachronistic. The 2001 Oxford Encyclopedia of Ancient Egypt states that "Any characterization of race of the ancient Egyptians depends on modern cultural definitions, not on scientific study.”
That was kind of what I was saying above. The Egyptians didn't really identify themselves by race and it's quite possible they weren't one "race" in modern terms. They had a shared culture and shared gods and were ruled by a shared Pharaoh. That's what was really important to them.