That is why the Concorde was only supersonic over open water therefore there were limited airports that supported it. Also from what I recall the major issue was cost of operating the planes and the reduction of passengers caused the cancellation in 2003. And the problem they would have now is the maintenance as Airbus will not provide support to maintain the planes.
The plane would also require massive amounts of repairs and updating as the plane is almost 40 years old, and would require a complete update of the flight deck, an update of the engines, much of the outer shell would most likely also have to be checks and possibly repaired of micro-cracks. In reality it may be safer and cost effective to find someone to build new ones, with massive improvements to technology, designs, and safety.