AN ACR WDB CREW MADE AN APCH TO THE WRONG ARPT AFTER AN ALL NIGHT FLT.

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ON RADAR VECTORS WITH MIAMI APCH CTL. ILS HAS BEEN TURNED AND IDENT FOR 9R MIAMI. 13 NM S OF MIAMI ARPT ON A 270 DEG HDG AT 3000 FT. CAPT IS HAND FLYING ACFT; A WDB. FO HANDLING THE RADIOS; AND I AM THE INTL OFFICER (RELIEF PLT) OCCUPYING THE JUMPSEAT. TFC AT 2 O'CLOCK; 6 MI RPTED BY ATC. FO NOTIFIES ATC 'TFC IN SIGHT; WE HAVE THE ARPT VISUALLY.' ATC CLRS US FOR A VISUAL TO APCH 9R AT MIAMI INTL ARPT TO FOLLOW TFC. WE CONTINUE ON A 280 DEG HDG OVER THE EVERGLADES. THERE ARE FEW GND REFS. WE ROLL OUT ON A NEASTERLY HDG; FLAPS ARE LOWERED TO 30 DEGS; GEAR IS DOWN; AND A DSCNT IS STARTED. CAPT ROLLS OUT ON A 90 DEG HDG AT 1500 FT. I CALL OUT 'WE'RE LINED UP FOR RWY 9 AT TAMIAMI ARPT.' (10 NM SSE OF MIAMI; LOC SHOWING FULL L DEFLECTION.) ADD PWR BEGIN TO CLB TO 2000 FT; AND TURN TO 030 DEG HDG FOR MIAMI ARPT. CONTRIBUTING FACTORS: WE DEPARTED BUENOS AIRES AT PM45 EST; ALL NIGHT FLT; 8 HRS PLUS 27 MINS SCHEDULES. HAND FLYING ACFT POSSIBLY DIVERTED SOME OF THE CAPT'S ATTN FROM MAINTAINING CONSTANT VISUAL ON THE ARPT. SUPPLEMENTAL INFO FROM ACN 224760: I THINK THE MAIN THING THAT CONTRIBUTED TO MY LACK OF PERFORMANCE IN THIS SITUATION IS THE FACT THAT I HAD SLEPT RIGHT UP TO THE TIME OF DSCNT AND HAD BARELY BEEN AWAKE 10 MINS WHEN ALL THIS TOOK PLACE. I AM SURE THE REST OF THE CREW THOUGHT THEY WERE BEING THOUGHTFUL BY LETTING ME SLEEP LONGER ON MY REST BREAK; BUT THAT IS DEFINITELY NOT ENOUGH TIME TO WAKE UP AND BE ALERT TO WHAT IS GOING ON. THE CAPT WAS OBVIOUSLY VERY FATIGUED. SUPPLEMENTAL INFO FROM ACN 224441: FAILED TO USE ALL INFO AVAILABLE FROM ACFT'S NAV SYS (FMC APP SELECTION).