Red culture is an excellent cultural achievement formed by the Chinese leading people in long-term revolutionary practice, and it has become an indispensable content of ideological and political education in colleges and universities with its high value and rich connotation. Based on the strategic positioning of red cultural resources in the curriculum system of ideological and political education in colleges and universities, this paper designs the teaching path of red cultural, ideological, and political courses and implements it. It also constructs an assessment system to evaluate the quality of teaching in red culture and civic politics and proposes the use of the particle swarm algorithm to optimize the index assignment method in hierarchical analyses. Then, the fuzzy comprehensive assessment method is used to assess the teaching approach’s implementation effect. The implementation of the teaching path resulted in medium-high assessment scores for the teaching content, teaching method, and teaching effect, indicating the effectiveness of the red culture and civics teaching path. Students’ learning attitudes were significantly improved (3.5 points) compared with those before teaching (2.26 points), and it was found that the scores on the ideological and political quality test of the students who were taught with the integration of red resources were significantly higher than those of the traditional classes (P<0.05). This paper is critical for integrating cultural resources from the red minority into ideological and political education in colleges and universities.