ASSIGNED THE STADIUM VISUAL APCH TO RWY 24R; APCH CTLR TURNED RPTR ACFT PRIOR TO REACHING THE SMO 084 DEG RADIAL AND RPTR ACFT STILL OVERSHOT FINAL. ANOTHER ACFT WAS ON APCH TO RWY 24L AND TCASII ALERTED RPTR FLC; WHO TOOK EVASIVE ACTION. WX CONDITIONS WERE UNSATISFACTORY FOR A VISUAL APCH.

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LAX ATIS RPTED VISIBILITY 4 MI WITH FOG IN THE VICINITY TO THE S. APCHING SMO VOR WE WERE ASKED BY APCH CTL IF WE HAD THE ARPT IN SIGHT. I REPLIED THAT WE COULD SEE ONLY THE E HALF OF IT. APCH THEN CLRED US FOR A STADIUM VISUAL TO RWY 24R. THE CAPT HAD BRIEFED THAT APCH AND FLEW IT PRECISELY. JUST BEFORE REACHING THE SMO VOR 084 DEG RADIAL; APCH TOLD US TO JOIN THE RWY 24R FINAL AND NOT TO OVERSHOOT THE LOC AS THERE WAS AN ACFT ON FINAL FOR THE S SIDE OF LAX. THE CAPT BEGAN THE TURN IMMEDIATELY; BUT EVEN AT 170 KTS; AN OVERSHOOT WAS UNAVOIDABLE. ALSO; VISIBILITY PREVENTED SEEING THE APCH END OF RWY 24R AS WE MADE THE TURN. OUR TCASII CALLED 'TFC;' FOLLOWED BY 'STOP DSCNT;' AND THEN 'CLB;' AND 'CLR OF CONFLICT.' TFC PASSED OUT OF SIGHT BEHIND US AND ABOUT 100 FT BELOW. CAPT LEVELED OFF DSCNT BUT DID NOT ACTUALLY CLB AS I CALLED OUT THE TFC'S ALT DIFFERENCE FROM MY VSI DISPLAY. WE THEN VISUALLY ACQUIRED THE RWY AND TOLD TWR THAT WE HAD BEEN UNABLE TO SEE RWY 24R FROM ABOUT 3000 FT AGL TO 2000 FT AGL. AFTER LNDG; WX WAS SUCH THAT LAX GND CTL HAD TO ASK OUR POS AS WE HELD SHORT OF TXWY AA. THIS IS NOT THE FIRST TIME I HAVE SEEN AN OVERSHOOT OF THE LOC ON THIS VISUAL APCH. WHEN WX IS MARGINAL; THE STADIUM VISUAL SHOULD NOT BE ASSIGNED (OR ACCEPTED). THE PROC CALLS FOR A DOGLEG TO FINAL STARTING AT THE SMO VOR 084 DEG RADIAL; BUT THIS SEEMS TO BE A LATE START; AT LEAST AT A TYPICAL SPD OF 170 KTS. PERHAPS THE TURN POINT SHOULD BE MOVED AND/OR A SLOWER AIRSPD SPECIFIED TO PREVENT SIMILAR SITS. IF I FLY THIS PROC AGAIN; I WILL SLOW TO APCH SPD ON BASE LEG EVEN IF A HIGHER AIRSPD IS ASSIGNED.