Republicans desperate to rebuild their party are looking for a new leader, and former Sen. Fred Thompson may seek the job. Thompson, a Tennessee conservative and former actor, is mulling a run for chairman of the Republican National Committee. Though he ran a lackluster campaign for the GOP presidential nomination, he remains popular in his party because of his ability to articulate conservative values in a plainspoken way. “Fred isn’t looking to run for national office again,” a close Thompson adviser said, adding that no official decision had been made. “He is looking to rebuild the party and help elevate...