I expect operators would arrange dedicated/express facilities for all the airport stuff to speed up the experience. Dedicated/priority check-in, security, immigration. What would be the icing on the cake is an express train from the airport to the city centre that runs every 10-20 minutes (for all passengers prepared to pay, not just supersonics).
That would be the Long Island Rail Road (at 35 minutes). (It's also connected by subway, which will take 60 minutes to Manhattan but maybe worthwhile if you want to get off sooner.)
