The state of K-12 education in the US is dire. Even well-funded schools in bougie white suburbs fail students in profound ways, and the statistics back this up. The only thing that keeps the US educational system relevant is the fact that Western employers overvalue degrees from US universities when hiring.
Political education and counter-propaganda are typically not taught in schools regardless of country, save for a few (typically AES) states. It doesn't make sense to suggest that if Americans simply were better educated on politics, they would have better opinions. It's the exact same assumption we mock liberals for making about chuds, and that's why it falls flat.