People drive too much. Cut off ais travel and only a few care - who drive to Los Cruzes NM to fly. cut off roads and they will in mass break the barricades.
That doesn't seem like a good argument for instituting a quarantine by blocking air travel but not ground travel. And why block everything including police, cargo and medivac flights for a quarantine?
Then there's no real infection risk if they'll continue to let people drive out of the area, including let people drive a 4 or 5 hours to another airport to make their trip.
Closing the El Paso airspace will reduce the number of people flying, but not stop it, lots of people will make the drive to Tucson or Albuquerque to catch a flight.
I could maybe see it if it was, say, LAX which is a major travel hub, but shutting down a small regional airport without also shutting down ground travel is "quarantine theater" rather than a real quarantine.