Most of the Cubans left Union City/West New York area in the 1980s-early 1990s to move to suburbia or Florida. There is a large condo complex (Galaxy Towers) in Guttenberg that has a large elderly Cuban exile population (which is why Guttenberg gave the highest percentage of votes to McCain in Hudson County). Most younger Cuban-Americans are in Bergen or Morris Counties, if they still live in the state.
I knew the Cubans were in Union at SOME time.