Actually, I agree with that, but that is NOT THE SAME AS INSTANT TOTAL DEPORTATION that was advocated.
What can be done is this:
A: secure the border
B: cut off government hand outs
C: deport them as they are arrested (as you said)
All of that CAN be done and SHOULD be done. And if it was, then this problem would not even exist in maybe 5-10 years. And it would be done in a way that would not disrupt the economy, a factor that would screw every single person in this country BTW, that so few want to acknowledge.
And 5-10 years is a bargain, since it took 60 years to build.
I'm in Texas and you're in North Carolina. I realize that your state is indeed suffering from the invasion of illegals but not nearly to the extent that we are, if for no other reason, than our border with Mexico. As I see it (in the posting you characterized as "veering off into the crazy ditch"), even half a decade is going to be fatal for those states overrun with the illegal, invading hordes. That's why I advocate immediate, swift and certain punishment. Yes, perhaps a summary execution of these illegals may seem extreme but unless something is done now, our future is indeed very bleak.
If you will, I'll moderate the proposed punishment from the on-the-spot death penalty to something along the lines of Eisenhower's Operation Wetback. These extreme times call for extreme measures...in my opinion, of course.