A broad bill letting illegal immigrants stay in the United States is clearing hurdle after hurdle toward Senate passage next week as House Republicans turn against President Bush and dig in their heels against what they deride as “amnesty” for millions of lawbreakers. Supporters deflected an assault on what is considered the heart of the bill — a plan to grant millions of illegal immigrants a path to citizenship — while accepting conservatives’ calls for hundreds of miles of new fencing along the U.S.-Mexican border. Full Story