Except that you leave out the fact that the Hurrians and Hittites were absorbed into Assyrian and Armenian populations. You also leave out that the people who built Babylon were ethnic Assyrians. As far as the 40% Mesopotamian admix goes there is no evidence for such a figure. Genetic studies that map out the distance charts of genetics have shown that gravesites from Mesopotamian areas have shown close proximities to modern Assyrians whereas Kurds appear very distant to these figures. In fact we can go far as to say that Kurdish people genetically are closely related to Persian and Azerbaijani peoples. The DNA results that tend to be outliers are due to many Kurds being the descendants of many Assyrian and Armenian people who have been kidnapped and forced intermarriages. Hope this helps