As Republican leaders try to woo Latino voters with a new openness to legal status for the nation’s illegal immigrants, the party remains at odds with America’s fastest-growing ethnic community on another key issue: healthcare. Latinos, who have the lowest rates of health coverage in the country, are among the strongest backers of President Obama’s healthcare law. In a recent national poll, supporters outnumbered detractors by more than 2 to 1. Latinos also overwhelmingly see guaranteeing healthcare as a core government responsibility, surveys show. Yet congressional Republicans continue to make repeal of the 2010 Affordable Care Act a top agenda item and have renewed calls for deep cuts in health programs according to a recent report in the Los Angeles Times.