I agree on this point. However, there is this from Chile:
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It seems stupid to most of us now, because nobody in Chile celebrates it, period (they've got the Fiesta Patrias for that, but that's not until September!), but in an Americanized Latin America, if the US pushed it, it could be a possibility as some sort of "pan-Western Hemisphere" holiday (except in Canada and those areas under the British, French, and Dutch empires, no doubt).
That's weird! I'm frankly amazed Chile doesn't hate our guts because of Pinochet. . .
Latin American culture is too strong to be easily assimilated like the OP wants, and geographical barriers would be a major obstacle to subduing the region. After throwing off one colonial master, they wouldn't want another one: "¡Viva Bolívar!"