This idea that cartels can take their capital on hand and then move directly into being the monopoly player in some other market is more than a bit fantastic.
Usage rates of marijuana in Mexico are one tenth the US, and Mexico has one third the population. Without the US black market, the cartels' revenue will be reduced to just a couple percent of their current intake.
I've read quite a bit about the situation in Italy as well. It's not easy to compare what happened to Italy with what's going on in Mexico now. The Cosa Nostra were never dependent on drug or smuggling revenue in the same way as the Mexican cartels are currently. The US military directly supported them as part of the invasion of Italy in WW2. After the war during reconstruction, Cosa Nostra was able to monopolize nearly all construction revenue in southern Italy and integrate itself into every corner of Italian government and public life. The Mexican cartels are terrifyingly powerful, but they are nowhere near close to that yet.
I don't think the cartels will disappear overnight, either. But they will see a large chuck of funding dry up, and it will then be easier to after them for their previous crimes as well as whatever they get into next.
Tobacco and alcohol dealers do the same, yet they are quite civil...