How do Muslims worldwide think? To find out, the Pew Research Center for the People & the Press carried out a large-scale attitudinal survey this spring. Titled “The Great Divide: How Westerners and Muslims View Each Other,” it interviewed Muslims in two batches of countries: six of them with long-standing, majority-Muslim populations (Egypt, Indonesia, Jordan, Nigeria, Pakistan, Turkey) and four of them in Western Europe with new, minority Muslim populations (France, Germany, Great Britain, Spain). The survey, which also looks at Western views of Muslims, yielded some dismaying but not altogether surprising results. Its themes can be grouped under three...