Problem is, when they shut down the border, it’s just the ports, the illegals can still walk across unsecured areas and then the stupid laws force us to keep them. Closing the ports may incentive Mexico to do more. But the news is Honduras is forming a 15,000 caravan to invade Mexico.
Yes, there certainly is no evidence the issue will resolve itself.
Clearly, Mexico's open border policy is fueling our problem. Mexico apparently needs labor so, with a U.S. border closing, it may find its best interest is served by announcing it will grant asylum to all seekers, while at the same time demonstrably and effectively strengthening its southern border.
Closing the border ought to further persuade Mexico to declare non-Mexican residents who enter the U.S. illegally as criminals wanted for violating Mexico's borders and subject to extradition.
The key is to clarify the asylum feature by either staffing the asylum process with enough attorneys to timely process claims (not a difficult or lengthy hearing), or by simply making asylum irrelevant.