Where did this idea come from? Has there been a similar situation? If so, what happened there? Was the AIA successful? How about 6-8 months later?
It comes from Israel creating a buffer zone in Syria to protect against ISIS and it has been very successful
https://theintercept.com/2018/01/23/israel-syria-safe-buffer-zone-golan-heights/
My great-uncle was promoted to Captain in the NY National Guard and mustered into Federal service to serve in the Mexican Punitive Expedition of 1916.
Kept us out of trouble for 80 or so years, so, yes, I would say there has been a similar situation and it was successful for more than 6-8 months.
Good relations (at a culturally appropriate distance) with the US are a necessity for Mexico. Us lying back and getting raped by Mexico does not constite good relations.
I'm quite sure that President Trump can devise an appropriate pallette of incentives and aversives without invading Mexico to make the Mexican State see the wisdom of restoring good relations.