Try again. Long, long, long before ANY guns form the USA got to Latin America that murder rate existed.
No, it didn't actually. The murder rate only started soaring in the 80's because
we were fueling a counter-revolutionary fascist uprising in multiple Latin American countries like Honduras, Guatemala, El Salvador, Panama, Colombia, Costa Rica, and Nicaragua.
Remember the Contras? That was all you guys and Reagan who did that shit. You're the ones who created all that instability in Latin America because you were waging half-brained, corrupt and covert wars, funded by drug money, against Socialists and Communists who posed no threat to anything other than narrow private business interests. Remember who raped those nuns in Latin America? It was the same people you armed to fight the Communists.
YOU and your shitty Conservatism are responsible for the instability in Central America.
YOU created that chaos when
YOU supported and funded fascist and authoritarian strongmen like the Contras, like Noriega, like the Guatemalan death squads. You gave them guns. You flooded them with guns...guns you gave them in exchange for drugs which you brought into the US, turned into crack, and flooded the minority communities with in order to enrich private prison companies and empower police to come down hard on those communities with mass incarceration.
Latin America isn't inherently crime-ridden...
YOU made it that way when
YOU supported and encouraged a covert CIA war, funded by drug money, that flooded the region with US guns.