The globe isn't composed of two parts: the Western civilization and the Rest, i.e., the Non-West.
The Arabo-Muslim, Bharati, Chinese and Western civilizations are all living cilivizations.
A civilization has a scriptural, anthropological and material building-block, as well as a distinct axial institution (e.g., the present Western one is a civilization of business).
As a result, international relations also are inter-civilizationa relations and globalization doesn't produce automatically a universal civilization.