Are you concerned about the possibility that the cartels can strike back with their own drones?

If they do so, what do you feel should be the correct response?

Absolute overwhelming force where what happened serves as a cautionary tale for generations

So in other words adopt a policy by which we shoot ourselves in the foot (several times over) and disrupt our neighbors. Double down on said policy by burning lots of cash to provide military assistance to our destabilized neighbor in the form of bombs (we sure do seem to love those). In the event this has negative consequences (ie our own citizens are killed) burn even more cash bombing the perpetrators into the ground (surely this won't result in any collateral damage or ill will).

To me that reads as a convenient step by step guide to undermining our own freedoms while destabilizing our neighbors. Perhaps in turn you'll propose the solution of occupying Mexico to "maintain security"?

Does America have the economic, social, and industrial resources to wage such warfare with the cartels?

America has spent trillions on two failed wars in the past 25 years, and lacks the economic capability to produce artillery shells to aid Ukraine.

At the same time it needs to build up industrial capacity to defend against an impending war in the pacific and it doesn't seem to be able to do that.

It is unlikely that engaging in all out war with the cartels is a viable path at this time.

Is there a problem America can't solve with guns?

I mean taken to its furthest extreme, not really.

America owes its dominance to two things: Guns and Money

And the second is very much dependent on the first.