DC10 FLT CREW OVERSHOOTS RWY 25L LOC AT LAX ON CAT III APCH.

Narrative

WE WERE FLYING MEM-LAX AND ON OUR DEP FROM MEM; FORECAST WX FOR LAX WAS BETTER THAN 2000 FT; 3 MI. ABOUT 40 MI E OF TNP VOR; WE WERE INFORMED OF CAT III WX (RVR = 1000 FT) AND GIVEN A DIFFERENT (AND NEW) ARR; THE 'SEAVU 1' TO ACCOMMODATE LNDG TO THE W (NOT USUAL FOR THIS TIME OF DAY). WE REQUESTED PERMISSION TO 'NOT' FLY THE STEPDOWN FIXES AND JUST DO A 'STRAIGHT' ILS BECAUSE OF THE LOW VISIBILITIES AND THE INCREASED WORKLOAD AND STRESS FOR AN ALREADY EXHAUSTED CREW (WE BEGAN OUR DUTY DAY AT 0150Z = 2020 LCL IN MINNEAPOLIS). WE WERE DENIED; ALSO; ATC REQUESTED WE KEEP 190 KTS TO THE OM! OF COURSE; WE DECLINED; EVEN THOUGH OTHER ACFT WERE RECEIVING AND ACCEPTING THESE CLRNCS! ANYWAY; AS WE TURNED FROM THE POM 098 DEG RADIAL TO INTERCEPT THE LOC TO RWY 25L; WE WERE SLIGHTLY LATE; AND THE AIRPLANE ON AUTOPLT LAGS A BIT; AS A RESULT WE OVERSHOT THE RWY 25L LOC BY ABOUT 1 DOT. ATC CALLED US AND GAVE US A HDG TO INTERCEPT (EVEN THOUGH WE ALREADY HAD ESTABLISHED AN APPROPRIATE INTERCEPT HDG). THE REST OF THE APCH AND LNDG WERE UNEVENTFUL.