There's a lot more to that problem than mere political vote flipping or blue waves.
Importing Latin American politics by way of culture would be a terrifying disaster. There is hardly a place on earth with less stable government systems or human rights protections.
Transparency International ranks Latin America as the worst place on earth for corruption, only rivaled by a few parts of third world Africa.
Latin America is the most violent and corrupt large region on earth. People that think the US has a high murder rate, have never been anywhere near a typical Latin American country. The US has a non-murder violence rate comparable to developed Europe; Latin America's rate of non-murder violence is comparable to a war zone (and its rate of murder is best described as a war zone).
London's explosion of acid attacks, stabbing murders, and extreme violence problems are a crystal clear example of how you have to be very careful when you import foreign culture. Cultural adjustment & acclimation is very difficult and takes a long time.
Very few countries in Latin America function at all. They roll from one civil war, dictatorship and disaster to the next. The reason for that is cultural (and no, trying to blame the US for every problem in Latin America doesn't actually work as an excuse; unless you're going to credit the US for Canada's success and any successes in Latin America as well).
If the US is going to import a vast number of people from Latin America, it's also very important to not import the failed cultures of Latin America that have led to extreme murder rates, extreme poverty, extreme violence, and endless failed political systems.
Latin American Socialism is one of the great political and cultural failures of the last two centuries. It needs to die in Latin America, the sooner the better. Turning the US into a Venezuela, Bolivia or Brazil through cultural import is the worst possible outcome.