MD83 CREW HAD A TRACK DEV AND AN MSAW ON THE VOR RWY 30 AT LGB. THE FO; THE PF; WAS ATTEMPTING A GPS APCH.

Narrative

WX RPTED AT THE FIELD WAS 1900 FT OVCST; 9 MI; THE VISIBILITY SEEMED MORE LIKE 4 OR 5 MI IN HAZE. SOCAL APCH VECTORED US FOR A VOR RWY 30 APCH AND WE WERE VECTORED FROM THE S SIDE OF THE INBOUND COURSE TO SLI. BOTH I AND THE FO WHO WAS FLYING EXPECTED TO SEE THE ARPT VISUALLY WELL BEFORE THE MISSED APCH. APCH VECTORED US VERY CLOSE TO THE VOR FAF AT A SHARP ANGLE. THE FO STATED HE HAD THE ARPT IN SIGHT BEFORE THE VOR FAF. I TOLD HIM I DID NOT SEE IT. THE FO WAS FLYING WITH THE GPS SET UP TO FLY THE APCH. THE NAV CAPTURED RIGHT NEAR THE FAF AND WAS UNABLE TO TRACK OUTBOUND ON THE PROPER RADIAL FOR THE APCH DUE TO THE INTERCEPT ANGLE WE WERE FLYING. APCH ASKED IF WE WERE TURNING OUTBOUND ON THE 275 DEG RADIAL TO THE ARPT. THIS IS WHEN I FIRST REALIZED WE WERE NOT TURNING ON THE RADIAL OUTBOUND. I DID HAVE RAW DATA DISPLAYED ON MY HIS; BUT I WAS SPENDING A LOT OF TIME LOOKING FOR THE RWY. WE CONTACTED TWR AND THEY ISSUED US A LOW ALT ALERT AND TOLD US TO CHK OUR ALT. THIS FURTHER CONFUSED THE ISSUE BECAUSE WE WERE ACTUALLY HIGH AND HAD NOT EVEN STARTED OUR DSCNT FROM THE FAF. IN ADDITION WE WERE SOMEWHAT ON A R BASE LEG FOR THE RWY AND WERE ALSO ISSUED A TFC ALERT FOR ANOTHER ACFT THAT DEPARTED LGB. LATER I ASKED THE FO WHY HE DIDN'T LINE UP WITH THE RWY WHEN HE TOLD ME HE HAD IT IN SIGHT? HE SAID HE DID NOT WANT TO PROCEED VISUALLY WITHOUT MYSELF ALSO SEEING THE RWY. THIS WAS MY 4TH DAY STRAIGHT FLYING AND OVER 27 HRS IN THAT TIME WITH A LATE NIGHT WX DIVERSION THE PREVIOUS NIGHT. I FELT FATIGUED DURING THE SECOND HALF OF THE TRIP AND THIS DID NOT HELP THE SIT.