Ok, so at this point we both agree that this type violence won't go away at least in the immediate future of a hypothetical legalization (it might go away months, years or perhaps decades later, fine).
Regarding to the level of fighting. I disagree. You see, now they have money and violence to combat getting caught. They use the violence to intimidate and the money to buy supporters and to bribe police force. So if you take away the money, it is not unreasonable that they will make up the difference with more of the violence.
It is completely unreasonable. Your argument has one huge hole in in and several small ones.
1. People engage in crime primarily for money. This is particularly true of organized criminals like the drug cartels.
2. If you take away the source of that money the leadership will likely turn to some other pursuit. The nature of that pursuit will determine the level of violence they employ.
3. Drug operations are labor intensive. They require a large number of people. If the cartels turned, for example, to extortion they might need fewer people. Therefor the number of criminals would go down.
4. Criminals at the worker level in the cartels are not criminals because it is in their nature to be criminals. They are engaged in criminal activities because that is where the money is. Take away the money and many of them would have to turn to selling moon shoes or burglary. Neither of which has the potential to be as violent as the drug business.
5. Most of the violence associated with the drug trade is in-fighting. Criminals are not primarily being killed by the police and killing the police in return. People are being killed because they are protecting the drug business or attempting to rip it off.
There is absolutely no question that if the US drug market were to go away that drug related violence in Northern Mexico would also dramatically diminish.
I don't know what all of this nonsense about violence associated with arrests is about. Violence between the police and the cartels pales in comparison to the killings between rival gangs and within gangs.
I am not calling for the legalization of cocaine, heroin, prescription drugs and other dangerous drugs simply to solve Mexico's drug crime problem. That is a minor factor to be considered. It is definitely not up to the US to solve this problem for Mexico.
Mexico could simply make the trafficking in drugs legal. It would in all probability hit their economy very hard indeed. Our closing our border with them as a result would be devastating to their economy.
So can we get off this who tangent you have gotten on to? You are not making any sense.