I grew up hunting. Like any other redneck, I fired a .308 at 13yrs old, and yes it knocked me to the ground, lol. Skinned a dear that same year. I just didn't choose to make guns my entire identity.
All I am stating is the obvious. The USA is a major firearms manufacturer and exporter.
The answer is that it is in fact easier to just buy them in the US.
The more likely effect is it disproportionately stops normal Mexico citizens from obtaining "illegal" guns to protect themselves but the cartels still have them, making things even worse for the Mexican people.
Mexico, 10 years ago: https://www.vice.com/en/article/the-cartel-gunsmiths/
Philippines, 13 years ago: https://www.youtube.com/watch?v=67PYuGQM9Fg