The United States has conducted an escalating campaign of deadly airstrikes against the extremists of the Islamic State. But that appears to have done little to tamp down the conspiracy theories still circulating from the streets of Baghdad to the highest levels of Iraqi government that the CIA is secretly behind the same extremists that it is now attacking. We know about who made Daesh," said Bahaa al-Araji, a deputy prime minister, using an Arabic shorthand for the Islamic State ... at a demonstration called by the Shiite cleric Moktada al-Sadr. Mr. Sadr publicly blamed the CIA for creating the Islamic State in a speech last week, and interviews suggested that most of the few thousand people at the demonstration, including dozens of members of Parliament, subscribed to the same theory. The prevalence of the theory in the streets underscored the deep suspicions of the American military's return to Iraq more than a decade after its invasion, in 2003. The casual endorsement by a senior official, though, was also a pointed reminder that the new Iraqi government may be an awkward partner for the American-led campaign to drive out the extremists.