The speaker highlights the impact of ideological influence on the education system, specifically mentioning China's success in influencing what is being taught in universities. They express concern over the content being taught, such as focusing on computer engineering and state-sanctioned violence in Shakespearean sonnets. The speaker also mentions the infiltration of universities and references Yuri Bezmenov's 1984 interview, where he predicted the downfall of America due to ideological influence as far back as 1964.