To phrase it more completely, regime change and general destabilization of Latin American countries has definitely led to the immigration crisis in the United States now. Lack of stable governments and economies has absolutely exacerbated the production and transportation of drugs into the United States. Hundreds of thousands of Latin Americans have been killed or disappeared by US-empowered gangs or governments.

Now that said, I don't know what the world would look like had their right to self-determination been preserved. Nobody knows. But as a general rule, countries whose power structures were not toyed with by colonial powers do better than countries whose power structures were toyed with.