All of the race tracks I have been to have been either privately owned or leased to a private company to run the operations. They are de facto emergency landing strips because its a long, flat piece of pavement. They don't fall under FAA authority. My local track is on the FAA sectional, but the last time I looked at it, Firebird was not listed as a divert strip. It is not designed as an alternate landing strip nor are they advertised as one, they just happen to make great places for an emergency landing spot.
I for one don't carry at the track, too many drunken idiots. They are basically an outdoor bar with fast, loud cars.