Two weeks before Yara, an American businesswoman, was arrested by Saudi Arabia's religious police for sitting with a male colleague at Starbucks, she said she strolled past the very same cafe with another businessman: Neil Bush. Bush, President George W. Bush's younger brother and CEO of the education software company Ignite!, was in the Saudi capital, Riyadh, speaking at an economic forum hosted by King Abdullah for hundreds of influential business leaders. Yara, who does not want her last name revealed because of safety concerns, is a managing partner at a Saudi financial company. She went to hear Bush speak,...