Remember many of the early Cuban refugees were from the more prosperous classes, and thus more likely Republican. Anyone know how their children and grandchildren have turned out. Not to be confused with the later Marielito invasion.
US born Cubans are less resolutely anticommunist but get roused by circumstances like the Elian Gonzalez forced repatriation. In addition, when properly advocated for, traditional GOP policies that support entrepreneurship and opportunity appeal to Cubans, and Trump is widely liked.