Ideological and political education is the fundamental guarantee to realize the goal and direction of college students’ talent training, and the key factor of Hainan free trade port construction is talent. Therefore, this paper carries out a new exploration of the ideological and political education of college students based on the background of free trade ports and selects the SPOC hybrid teaching model to carry out the ideological and political education of college students. Using the AHP-FCE evaluation mechanism, we construct the AHP three-level evaluation indexes and establish the FCE evaluation factor set. By calculating the affiliation matrix and hierarchical weight vector of the three-level index set, we make a comprehensive evaluation of the feasibility and effectiveness of the SPOC hybrid teaching model in ideological and political teaching and prove that it can improve students’ ideological and political performance and cultivate talents. In this paper, we conducted experiments in five colleges and universities and proved that students’ performance in ideology and politics under the SPOC hybrid teaching model increased from only 60 passing marks to more than 75 marks per capita. The teachers’ teaching time of ideology and politics also increased by at least 5 hours and at most 7 hours based on the original one. It can be seen that the SPOC teaching model applied to the ideological and political education of college students can significantly improve the ideological and political achievements of students, and can provide a steady stream of high-quality talents for the construction of the Hainan free trade port.