The National Governors Association prided itself on finding consensus on issues that divided the parties in Congress, recalled Raymond Scheppach, now a University of Virginia professor of public policy, who served as the group’s executive director from 1983 through 2010. “A lot of the times, 10 or 15 years ago, you would sit in the room with the governors and you couldn’t account for who were the Republicans and who were the Democrats,” he says.