NEW YORK (Reuters) - Thursday night's victories for Republican Mike Huckabee and Democrat Barack Obama in the Iowa presidential caucuses will bring increased attention to the candidates' trade proposals as they head off to New Hampshire for round two of the primary season. The loss of U.S. manufacturing jobs in states with early primaries will probably influence voters and may have longer-term implications in the race. Anxiety about the state of the U.S. economy, including a weak housing market and slowing jobs growth -- especially following Friday's anemic employment data -- is likely to influence voters' view of the U.S....