This is exactly what Dr. Cheikh Anta Diop taught... Actually, the whole debate over Egypt had a huge over all impact on the field of Anthropology, as Eurocentric teaching has been exposed in recent decades. Skull measurements proven unreliable, information fabricated, bogus theories of a mysterious "Mediterranean race" from the north who swept into northern Africa and civilized the pagan savages. Yet, recent archaeological evidence show the Predynastic/Old Kingdom Egyptians (Especially Upper Nile Egypt) were indigenous to Africa, and belonged to a Nilo-Saharan culture, as that of Nubia. DNA analysis also shows that the Ancient Egyptians are most closely related to "The Tigre People" of Northern Eritria, which gives credence to the claim by the Egyptians that they were descendants of the "Puntites" whose kindgoms were in East Africa.
Tigre woman:
http://www.joshuaproject.net/profiles/photos/p110051.jpg
Egypt is indeed the link, as is Nubia. They're the mothers of Ethiopia, Songhay, Ghana, Ancient Mali, and Timbuktu among others.. Don't let anybody tell you that the Egyptians were white, Arab, or anything other than African. The people there now are descendant of invaders over thousands of years, yet even so the rural Egyptians, and Upper Egyptians near Luxor still show strong affinity with their ancient ancestors, and can be seen in their darker skin, curlier hair, and more Africanized traits.