The only way I know this could be accomplished would be to build a wall around our southern border but it will be vigorously attacked as anti-Hispanic and politically unacceptable. And it would have to be secure in such a way that it could not be breached by tunneling under it.
The great irony is that Mexico defends its southern border with Guatemala vigorously and anyone coming into Mexico is thrown under the jail. We are probably the only nation in the world that has so little regard for our status as a nation and its borders. One can probably thank Ted Kennedy for this current state of affairs. One can read what he said back in the 1960s when immigration "reform" wasn't supposed to change our national make-up substantially. Of course now, as we can easily see, it was yet another huge Democratic lie as they build their voter base by any means necessary.
"Senate floor manager and Camelot knight-errant Ted Kennedy, D-Massachusetts, assured jittery senators that "our cities will not be flooded with a million immigrants annually." Senator Daniel Inouye, D-Hawaii, further calmed that august body, insisting "the total number of potential immigrants would not be changed very much." Time has proven otherwise. Average immigration levels before the 1965 amendments took effect hovered around 300,000 per annum. Yet 1,045,000 legal immigrants flooded our cities in 1996 alone."
FrontPage Magazine - The 1965 Immigration Act: Anatomy of a Disaster