That will not work. The U.S. military falls up under the President. When he/she/it is a Democrat, the military is moved off the border.
Just that simple.
Technology and a vast beefing up of the BP is what is needed for border enforcement. What you said about going after businesses who hire illegals is spot on, however.
IOW: "If the 'Rats won't enforce our laws, why should we?"
Hmmm... where have I heard that before?
Oh, I know... "If the 'Rats won't balance the budget, why should we?"
Pretty lame excuse, IMHO.