Expect nothing from NM, AZ, or CA. Which gives unique meaning to Texas's recent declarations.Wouldn't cause any dent, however, this is how it can be ended, with the first state taking a stand. Things can only escalate from here, and then real change can happen.
This is a long reach, but here goes (please pardon my limited legal understanding and tin foil hat):
The State of Texas declared that their borders (not specifically restricted to the National border) are enforceable by the State of Texas, as it is under invasion. Texas has installed some concertina wire along the edge of the NM border, vicinity El Paso, at the very western edge of Texas. In this location, the border with Mexico is very nearby. The area is subject to illegals crossing from Mexico, into New Mexico proper, then into Texas.
So what? Feds lean heavily on "interstate traffic" being their domain only. If Texas establishes precedence for controlling/restricting such traffic, it represents a theoretical challenge to Fed supremacy. To date, the feds have not challenged it in a substantial manner. Imagine Texas going hard and controlling interstate traffic along the I-10/US highway/I-40 points of entry. Big deal then.