When Iraq’s top Shiite cleric underwent surgery for a fractured bone last month, it sent shivers around the country and beyond. “May God heal Iraq,” read a photo of Grand Ayatollah Ali al-Sistani that circulated online. Anti-government protesters hung photos of the black-turbaned cleric with a long white beard and bushy eyebrows, declaring, “The hearts of the revolutionaries are with you.” Al-Sistani’s well-wishers included officials from both Iran and the United States, the bitter rivals for influence in Iraq.