The Machines have influenced the government into doing the Agents' bidding as the agents operate under the guise of investigating computer crime and terrorism and are able issue orders to the police department.
Matrixism is a stupid wannabe religion created by computer nerds. Although the fist Matrix film is one of the best action movies ever, taking this seriously is stupid beyond recognition. Matrixism teaches that the matrix is real and that we're all part of it.
If the Matrix was real one of two things would have happened 1. agents would have assassinated the founders of Matrixism, 2 Zion rebels would have awakened the founders of Matrixism. Since neither of the aforementioned consequences have happened Matrixism has been proven to be fake. They also support illegal drug use and vandalism. This could become the next Scientology.