They did it by using the same tactic that your hero Karl Marx used...they lied.
They promised to overthrow Batista, restore the constitution, and set up free elections.
It had nothing to do with the economy.
Once they seized power, they grabbed all the guns, "nationalized" industry, then outlawed private property, private enterprise, and religion.
Just like your hero Karl Marx would have wanted them to.
Willie, Marx said our system would lead to our eventual downfall, and the our take over by his superior system.
Where is Marx's communist Utopia now Willie?
Why would the Cuban peasants consider these to be important issues if they weren't already severely discontent with their economic situation?
"In general, the art of government consists in taking as much money as possible from one class of citizens and to give it to the other."-- Voltaire - "Philosophical Dictionary" (1764)