How about a company of black belts with nothing but bare hands?
LOL! I'd settle for a tall fence and a few hundred land mines.
The biggest problem, IMO, is the way the federal government has hog-tied the States in dealing with the problem. To them, being taken into custody is an 'implied consent' for illegals to be here to begin with INSTEAD of it being the proper first step of evicting them back across the border.
Having to return them to their 'home country' is another federal boondoggle. There is no legal reason they cannot go right back across the border they came across in the first place since the country the crossed allowed them through!