Political science education over the past thirty years has become the most important element of the humanitarian sphere of the Russian university. At the same time, a discussion continues in the scientific and pedagogical community about the status of political science education in the professional training of specialists in demand for the country, masters and research teachers. One of the main questions postulated in the expert community is to determine the role of the science of politics in preventing the emergence of conflict situations in the educational space of the university on the basis of the "politicization" of the worldview positions of participants in educational relations. The transition in 2010 - 2020 to a competency-based model for the implementation of basic professional educational programs and the introduction of project technologies in the educational process led to a serious transformation of the architecture of education and upbringing at the university. The article presents arguments in favor of the author's hypothesis about the need to introduce programs of political and legal education at leading universities for all participants in the educational process. The author comes to the conclusion that the approbation of such programs will qualitatively update the content of the educational work of innovative teachers and methodologically strengthen the cultural component in the professional outlook of students. The educational component is also emphasized. The content of the programs should include didactic materials containing recommendations on how to quickly respond to typical conflict situations on the grounds of a mismatch of political orientations among the youth. The materials contained in the article are addressed to graduate students, young professionals and researchers of higher education.