LAX 040605a: US arrival and lay-over

I arrive LAX at 6.30pm local time after a grueling 20-hour flight from Kuala Lumpur (KUL), via Taipei (TPE). It is a beautiful summer late afternoon, and immigration and custom are done in quick time. I have an 11pm connecting red-eye flight on United to Chicago O'Hare (ORD), so I figure I should just take a rest in the little space between Terminals 6 and 7. It is quite a long walk from the Tom Bradley International Terminal (where I disembark from a Malaysia Airlines plane) to the spot.