The scientific culture and the creation of a new world picture will be the main condition for the victory in the battles of the XXI century civilizations for the future. The current stage marks the end of the Enlightenment, with its universal humanistic values and Western humanitarian technologies that gave rise to the project of archaic fascism. The Western science about society describes the society with the distinguished economic, social and political spheres. The article deals with the question, if the science of this kind enables us to study precapitalist, anti-capitalist, socialist societies. These societies saw the development of their own public sciences, which quite successfully provided the sustainable growth and competitiveness of the societies. As the great powers and great global societies have developed on the great ideas, the question arises, what great idea can emerge in Russia in the context of the current constitutional ban on national ideology. The idea requires the creation of new sciences for the transition to the new world order, which can be compared with the transition from the primitive society to the class-based one. A new society is being built on neo-industrial basis and Russia as the country-Messiah of the Russian Super-modern project is called to head the mankind on its way to progress and freedom away from natural and social spontaneous forces which lead to regression and fascism.