Many Bulgarians are outraged that a figure like Mr. Peevski was placed in a sensitive state position in charge of fighting the most serious crimes, a job that includes access to classified information and the power to order arrests and wiretaps. “If you read the biography of Peevski, he personifies all the problems of Bulgaria,” Pavel Antonov, 40, said at a recent protest, referring to corruption, nepotism, organized crime and the abuse of state power. “He has a very ugly personality: his way of speaking, his behavior, his arrogance,” Mr. Antonov said. “It’s galvanized the people.”