Most of the 1960 Cubans traced their ancestors to Europe. They became Cuba's professional class and business owners. They brought their skills and their productive energy to south Florida. They voted heavily Republican.
The arrivals since 1980 trace their ancestors to Africa, Latin America, and the Caribbean. They vote about 70% Democrat.
I must have been exposed to an enclave, because the ones I have known were so anti-Castro, Communist, and Democrat that they would nearly spit on the ground inside a house at the mention of the subject.
Sadly, though, you may be right in some respects, given the huge numbers of certain types of people who were released to leave in the various exoduses...grifters, criminals, no-loads.
Democrat constituency.
But still showing a majority vote GOP?