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The path of integrating red culture into ideological and political education under new media should be more refined and comprehensive. In the innovation of red culture practice, red culture propaganda carrier and red culture condition guarantee, further in-depth discussion and research are needed, which provides more space for the research of this paper. In this paper, the FCM-education path model is constructed based on the fuzzy clustering algorithm as the theoretical basis. The calculation and analysis show that the new era background has a heavier share in the basis of ideological and political education in universities, and its comprehensive basis degree is 66%. The extent to which world multipolarity is based on ideological and political education in universities is 64%. The proportion of the basis of economic globalization to the ideological and political education of colleges and universities is 40%, and the difficulty of realizing the path of “three-pronged education” is 60%. The main reason is that the path of “three-pronged education” of ideological and political education culture in colleges and universities is the first experimental path in China, and there are difficulties in the design of class time and the division of objectives. The path of curriculum education is the least difficult to achieve, only 10%.

As an important resource for ideological and political education, red culture has a positive role in promoting college students’ cultivation and practice of socialist core values and enhancing cultural self-confidence. In the face of the integration of red culture into ideological and political education in colleges and universities, there are still problems, such as the single way of integration, weak integration content, and poor integration effect. Improving the integration of red culture into the ideology and politics of colleges and universities is an important task of the current ideological and political education work in colleges and universities. This paper uses the fuzzy analysis model to assess the integration of red culture and ideological and political education in colleges and universities and uses questionnaires to investigate the way teachers use red culture resources, the use of red resources in the classroom, student’s understanding of red resources, some problems in integration, and ways to explore the innovation of integration. In the process of integrating red culture with ideology and politics, there are mainly problems such as the low degree of integration of ideology and politics classes with local red cultural resources, the lack of ability of political science teachers to link theory with practice, and the lack of awareness of the importance of red cultural resources among ideology and politics teachers. 23.5% of teachers’ schools’ ideology and politics classes are closely integrated with local red cultural resources, and 50.9% of teachers think the integration is average. Moreover, 35.6% of teachers’ schools’ ideological and political classes are not integrated with local red cultural resources. The degree and depth of integration of red culture and thought politics education are seriously insufficient. In the new media era, we should keep up with the trend of the times and use innovative ways to strengthen the integration of red culture and college thought politics.