Opposition to Batista was pretty widespread, from all points of the political spectrum. There were exceptions, of course, but mostly they were those who benefitted from his political patronage, and they too were from all points of the spectrum. Surprisingly, among Batista's supporters was the Cuban Communist Party, who had worked out a deal with the dictator to keep the labor unions quiet in return for freedom to operate without interference. But if they were planning a double-cross, Castro put a stop to it, they were among the first groups he crushed when he took over, including all the polychromatic insurgent bands fighting Batista (Castro was not the only one by any means). The Anarchists, in particular, were severely persecuted by him. Those few who survived his purges are among the most vocal of his critics. Read this, it's important:

http://raforum.info/article.php3?id_article=1378

When my stepfather (a sargeant in Batista's army) was on the run from the Revolution's goons in 1960 Havana, one of those who gave him shelter, at great personal risk to themselves, was a married couple who were CCP members.

A few who knew Castro personally from his college days claimed they knew he was Red all along (my uncle was one). But it was not common knowledge or he would never have gotten as far as he did. Still, it's hard to believe otherwise, the political discipline and organization he displayed in the early days was evidence that his take-over of the anti-Batista coalition did not develop overnight, it must have been carefully planned from the start. Castro may have been a Marxist-Leninist all along, but he kept it well hidden from most, and he was certainly not part of the Soviet-controlled Party. Even many of Castro's comrades in the hills quickly fell out with him after his true colors started to show. And most paid a heavy price for it. To this day, it is rumored that El Ché, and Camilo Cienfuegos were in this group.

You, of all people, Bowz, should know. The truth is never black and white.