I think they (ICE) are doing all the can with what they have. But, as one FReeper put it, it's like pumping the water out of the city of New Orleans. You have to fix the levee's first.
One of my points I was trying to make about 'propaganda' is the illegals aren't just coming over the borders. But the 'propaganda' keeps the focus there. They are coming in through networks that consist of airlines and ports (and whatever other clever means). That falls under local and state jurisdiction. Not just federal.