With a black leather folder pressed under her arm and long, honey-brown hair flowing down her back, Amani Council, director of government affairs at the Family Research Council in Washington, D.C., is about to show some moves.

She strides out of the humid weather and into the Rayburn House Office Building, flashing a set of near-perfect teeth to passers-by as she sets out to do the kind of Capitol Hill maneuvering the conservative, anti-abortion FRC hasn’t done too much of — reaching out to Democrats.