LAS VEGAS, Nov 20 (Reuters) - Enrique Iglesias and Uruguayan singer Jorge Drexler were the big winners at the annual Latin Grammys on Thursday in a ceremony where U.S. immigration politics played a prominent role. Iglesias won three Latin Grammys, including song of the year, while Drexler and French-Chilean singer Ana Tijoux won record of the year for their song "Universos Paralelos." Late Spanish flamenco guitarist Paco de Lucia, whose album "Cancion Andaluza" won album of the year, won two Latin Grammys, the Latin music industry's top honors.