The characterization of the federal government as "broken" (at least in this capacity) and "dysfunctional" is a normative judgment you're making based on your own subjective value preferences.
Some -- perhaps most -- Americans regard the federal constitution's ability to restrain states from enacting policies that transgress against generally accepted individual rights as desirable, and working as intended.
Are you willing to concede most guns used by criminals in Mexico come from the United States? That would be a question of fact, not characterization. And that, if it is easy enough to smuggle guns from red states into Mexico to commit crimes, it stands to reason it is even easier for red states to do the same to blue states? Or are you going to invent some other strawman to attack in your defense of your "individual rights"?
No -- nor am I willing to assert the opposite, because I have no knowledge of the topic. I will ask, though: why is the place of manufacturer of guns used by criminals is Mexico something worth worrying about?
> And that, if it is easy enough to smuggle guns from red states into Mexico to commit crimes, it stands to reason it is even easier for red states to do the same to blue states?
Well, yes, of course. But I assume that this will be the case regardless of any attempted policy at any level of government, because I do not believe suppressing the movement of firearms is an attainable goal at any scale in the first place.