Richard,
The people who fled Cuba were those who had, prior to the successful and popularly supported Cuban rebellion, oppressed the ordinary Cuban.

This statement ignores the fact that people were fleeing Cuba long after the revolution, and many of the refugees would not have been born when Batista ruled!
This was written in 2009

"The immigration of Cubans to the United States has increased since 1995, although the actual admission numbers have ebbed and flowed over this period. Cuba consistently ranks among the top 10 source countries for legal permanent residents (LPRs). Cuba ranked fifth as a top immigrant-sending country—after Mexico, China, India, and the Philippines—in FY2008. A total of 49,500 Cubans became LPRs in FY2008.
U.S. Coast Guard interdictions of Cubans have fluctuated since the mid-1990s, yet the general trend has moved upward. Cuban interdictions reached a 12-year high of 2,868 in FY2007. In FY2008, the U.S. Coast Guard reported 2,199 Cuban interdictions. Similarly, U.S. Border Patrol apprehensions of Cubans peaked at 4,295 in FY2007 and slipped to 3,351 in FY2008. Cubans who arrived at ports of entry without documents exhibited a comparable pattern, reaching a high of 13,019 in FY2007 and falling slightly to 11,278 in FY2008."