Cant.
The Borders are a Federal issue. States have no standing when it comes to the borders beyond security. Immigration is also a Federal matter. Anything the states could do could be overruled by the Federal Government. That is just the way it is.
While States definitely don't have the power to "deport" illegal immigrants, they DO have other powers they can use:
* Declare illegal immigrants as "trespassers" and arrest them when they congregate
* TAX the hell out of international wire transfers. There is NO reason NOT to do this, as this is THE reason most of these "migrant workers" are here ANYWAYMake money off of the rich gringos and wire it south to "mi familia"
* Aggresively prosecute housing code violations, and ensure that neighborhoods and cities don't become barrios
Any of these methods could be used without coming into conflict with Federal jurisdiction. We MUST use EVERY tool at our disposal to re-claim our sovereignty, or we do not deserve to HAVE it!