As a student of Aerospace engineering who's had some ATM and Avionics stuff, I have little practical experience. Therefore perhaps an obvious question...
Wouldn't mode s + multilateration help a bit? You know, having a screen of the airport layout with all the A/C blips+names... I don't know the JFK system setup and layout, so I stand by to be educated some more.
Very enjoyable listen any way you listen to it