AT&T Illinois will pay $23 million after it admitted to making payments to former Illinois Speaker of the House Michael J. Madigan’s political ally in return for his “vote and influence over a bill,” according to a Friday press release from the Department of Justice (via Ars Technica). The company will also have to cooperate with the government’s investigation into the alleged misconduct and will have to set up a compliance and ethics program that the government will receive reports…