During recent decades a popular discourse of tolerance substitutes a threat of violence language used as competing key by ideological systems of the last century. But it has not yet evidenced that the practice of non-violence has won. The article highlights changes both in a contemporary violence politics, and in a general situation of tolerance. Ethnic conflicts in local wars give a new view on the principles of tolerance methodology. The latter can be recomprehended in terms of culture and politics based on the imperative on recognition of the principle of completed existential difference of culture worlds. Finally this research examines current cultural and political prejudices existing in geopolitical relations between Russia and Ukraine. It also outlines possible ways of avoiding intolerant conflicts between the latter and other historically close culture worlds.