It was called the wave of the future—the recently tapped U.S. ambassador to Switzerland was sworn in last month with her hand not on a paper Bible, but on top of a Kindle. Techies called it revolutionary and applauded Suzi Levine for making history. But she wasn’t the only one who went high-tech when she took the oath of office. A county executive from Long Island, N.Y., used the Bible app on an iPad to be sworn in last year and a few months ago a group of firefighters from New Jersey huddled around a Kindle Bible when they took...