Exploring the application of VR technology in the intelligent practice system of college Civics teaching can better help Civics teaching realize the concept of nurturing people. In this paper, a virtual reality system is constructed using VR technology, and the construction data of the model is processed by the Wallis homogenization method under deep data processing technology. The teaching human-computer interaction interface in the virtual reality system is optimized and analyzed to meet the interactive experience of VR resources in Civics teaching. The necessity of VR technology application and college Civics teaching is discussed, and the index mining analysis of teaching interaction experience and the comparative analysis of VR intelligent teaching and traditional teaching is conducted using VR technology. From the evaluation of interactive experience, the average percentages of evaluation of sensory experience, interactive experience, and cognitive experience are 51.97%, 50.97%, and 50.98%, respectively. From the comparison of teaching modes, the overall percentage of those who are more satisfied with the VR teaching mode is 84.67%. This shows that the intelligent practice system of college teaching based on VR technology should adhere to the combination of VR teaching and traditional teaching, adhere to the combination of VR technology and the content of college Civics courses, and implement the education concept of good VR technology as a tool to educate people.