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latinos .. [that] ... are just vehemently anti left wing policies in general
I worked with some of these. From the Cuban community in Miami. I think they reasoned that immigrants of the right kind would still get trough somehow. I guess they favoured those that were already middle- or upper class in their birth country. They may not be that far from the truth either, no policy will realistically deliver absolute zero immigration, so for some voters it becomes a matter of being in a position to dictate how the flow should be filtered.
Also the well documented reason that many of said latinos have recently escaped an oppressive and corrupt communist regime and are just vehemently anti left wing policies in general, even if that means pulling up the drawbridge