No, hell no.
Within 3 years you'll have most Democrats and all the do-gooder Republicans calling for just that.
But it'll be (a few hundred advisers and some undisclosed number of "security").
Absent Russian or Chinese bases in Mexico, no American military man should ever be in that country.
Sorry, just a fleeting moment of fantasy. You are right ... now I will begin my normal, more logical self. ;-)