36,000 National Guard Troops would Stop Illegal Crossings

According to a Washington Times report, it would take 36,000 National Guard Troops to keep illegals from crossing our southern border:

The deployment of 36,000 National Guard troops or state militia on the U.S.-Mexico border would stop the illegal flow of foreigners into America, says a congressional report that credits the Minuteman Project with proving that additional manpower could "dramatically reduce if not virtually eliminate" illegal immigration.

Is that number of troops unreasonable? If we want to keep out millions of illegals and dozens, hundreds or thousands of terrorists from coming from Mexico, what is the problem with 36,000 troops? Guarding our borders is and should be one of our military's highest priorities. Right? Be sure to read the entire piece.