Worth noting that a chunk of Cuban Americans are descended from the formerly landed elite of Cuba during the Batista dictatorship, which the US actively supported, who Castro drove out when Batista was toppled. That's very different from the majority Cubans in Cuba who supported and participated in Castro's revolution. Others are exiles from later, who of course joined in with their hatred of Castro. Their agenda is based on bitterness.

Back in power and receiving financial, military and logistical support from the United States government,[7][8] Batista suspended the 1940 Constitution and revoked most political liberties, including the right to strike. He then aligned with the wealthiest landowners who owned the largest sugar plantations, and presided over a stagnating economy that widened the gap between rich and poor Cubans.[9] Eventually, it reached the point where most of the sugar industry was in U.S. hands, and foreigners owned 70% of the arable land.[10] Batista's repressive government then began to systematically profit from the exploitation of Cuba's commercial interests, by negotiating lucrative relationships both with the American Mafia, who controlled the drug, gambling, and prostitution businesses in Havana, and with large U.S.-based multinational companies who were awarded lucrative contracts.

https://en.wikipedia.org/wiki/Fulgencio_Batista

Incidentally a similar dynamic is at play wrt the Iranian diaspora, which is why they support the return of the Shah so much. The Shah was good for their section of the populace, while the Revolution ended their lives of privilege.