The article is devoted to the views of representatives of the conservative-traditionalist thought of post-Soviet Russia on the ongoing transformation of the modern world order. The authors aim at analyzing the attitude of Russian conservative-traditionalist thought of the late XX — the early XXI centuries to towards Western globalism. The article puts forward a hypothesis that Russian philosophers of traditionalist and conservative views enunciated the model of coexistence of different civilizations as an alternative to Western globalism, built on respect for the traditional meanings of civilizations.