Readers unfamiliar with this intertwined history of politics and proselytizing may regard the cover of John Fea’s “The Bible Cause,” which features a man holding a Bible in one hand and waving a U.S. flag with the other, as nostalgic, creepy or worse. The man pictured is an agent of the American Bible Society (ABS), the organization whose history Mr. Fea narrates from its founding in 1816 to its bicentennial celebration this year. The society’s initial goal was to place a Bible in every American home, a target that prompted four major printing and distribution campaigns as the nation’s population grew during the 19th century. ABS also sent Bibles overseas: Between 1875 and 1916, it distributed roughly 21 million copies among the Chinese. Even so, the ties between the wide distribution of the Bible and America’s evolving self-definition are much stronger than even the cover’s image suggests.