Won't happen.
One of the guys mentioned in the ADI story is someone I know from when I was living in Tucson before moving to Chicago. He now has the top rated morning show in Tucson (which I can still listen to on the web, thus avoiding blue-leaning radio up north...).
His radio show had calls earlier in the week asking to put National Guard on the AZ-NM border to turn away the buses, but since they're Federal buses, there's no prededent for sealing the border with another state. It's also questionable if the state can deny a non-military federal government vehicle access into the state.
The kids are being flown in on Coast Guard C-130's, so they can't be stopped short of sealing off the airport...