Close Turkey's Border with Syria

As the nature and extent of reported looting by or under the protection ISIS/ISIL terrorists in Syria is being widely debated, excepting our man Peter Tompa, no one seems to have suggested an obvious solution to any problem:  Turkey should close its border with Syria ! Turkey's Islamist government is already facing criticism for allowing jihadists free passage to and from Syria from Turkish soil.  Turkey should deploy its army to the border to both cut off the flow of people across the line (jihadists on their way to the war zone) and confiscate any artifacts illicitly removed from Syria and arrest the smugglers. Obvious.