There's a really grim irony to the entire idea.
Mexican cartels are so powerful because they spend a lot of the money they make selling drugs to willing American customers, using American mules and American criminal organizations for distro, on guns smuggled in the opposite direction which have allowed them to outgun local and state police forces. So the US military is going to be sent into Mexico to fight a US made problem and American soldiers will get killed by American made guns sold and smuggled into Mexico.
I don't think the US public has the stomache for it, especially when unlike other recent US conflicts that happened "over there" and before social media really became a thing, a fight in Mexico would be basically televised on social media with the bodies of soliders, cartel members, and innocent mexicans caught in the cross fire going viral on a daily basis.