Yes, Athens is a part of the West. I never denied that. But how about Jerusalem? How about Rome? How about uncivilized (ie without a city) barbarians?
How about the over 1600 years of history since the split of the Roman empire?
The 1000 years since the Schism?
The 500 years since the Fall of Constantinople?
The Eastern Roman Empire was of a completely different character than the Western one, follows a vastly different path, and one that started diverging (due to all the heresies [0]) as early as Constantine. Since the fall of Constantinople the Greeks had very limited contact with the West until independence in the late 19th century.
According to you the West didn't do anything, didn't evolve, in the last 1600 years since we've been de facto incommunicado?
For example, to say that the West of the Scholastics is "Greek" when the Greeks have always rejected them (with very poignant criticism might I add) is a laugh in the face of the Scholastic's transformational contribution to the West (above all our modern university system).
St Augustine [1] , Boetius [2], and the Papacy [3] create the West anew from of these ingredients.
[0] which (Russian Orthodox) Solovyev lays at the feet of a jealous Greek hierarchy
[1] accepted but looked down on by the Greeks
[2] the last of the ancients and the first of the Scholastics
[3] the most foundational institution for the West and rejected by the Greeks