Lieberman Senator Joe Lieberman is a household name because he's running for vice president. But he also has a second campaign to run this fall, for re-election to his Senate seat in Connecticut. He insists he intends to run both races, but some Democrats are having second thoughts. They worry that if Al Gore and Lieberman win the national race, Connecticut's Republican governor will fill the vacant Senate seat with a Republican. Connecticut Public Radio's John Dankosky reports.