NMAC. FLC OF A B737-300 SLOWED TO AVOID ANOTHER B737 OVERSHOOTING FINAL TO THE OTHER PARALLEL RWY DURING A VISUAL APCH. APCH CTLR ISSUED ADVISORY OF THE OTHER ACFT TURNING FINAL TO THE OTHER PARALLEL RWY BUT DID NOT EXPECT HIS OVERSHOOT.

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WE HAD BEEN CLRED TO DIRECT CIVET INTXN BY ZLA FROM NEAR GOLFS INTXN. THE FMC WAS SET UP FOR A CIVET ARR WITH A TRANSITION TO THE ILS RWY 24R. PRIOR TO CIVET; WE WERE SLOWED TO 250 KTS. UPON CONTACT WITH SOCAL APCH; WE WERE RECLRED THE MITTS ARR FOR THE ILS RWY 24R. WE WERE STEPPED DOWN IN ALT FOR THE ARR RATHER THAN CLRED FOR THE PROFILE DUE TO THE PROX OF A B727 TO OUR L FOR THE ILS RWY 25L. WHEN CLRED FOR THE VISUAL TO RWY 24R; WE WERE SLOWED TO 210 KTS. AT APPROX MERCE INTXN; WE WERE TOLD TO SIDESTEP TO RWY 24L FOR AN ACR Y B737 ON A BASE LEG FOR RWY 24R. WE SAW AND ACKNOWLEDGED THE TFC AND LINED UP FOR RWY 24L ON THE LOC. APCH OR TWR (I DO NOT REMEMBER AS I WAS FLYING THE ACFT AND INTENSELY FOCUSED ON THE ENCROACHING ACFT) TOLD US TO SLOW TO 170 KTS TO THE MARKER AND NOT TO PASS ACR Y. UNFORTUNATELY; THE B737 GROSSLY OVERSHOT THEIR TURN ONTO RWY 24R LOC AND PASSED THROUGH THE FINAL FOR RWY 24L IN FRONT OF US. TO AVOID COLLISION; THE LNDG GEAR WAS LOWERED; FLAPS EXTENDED BEYOND COMPANY SPDS (BUT LESS THAN STRUCTURAL); AND SPD BRAKES EXTENDED. I MAINTAINED A POS BELOW AND TO THE L OF THE ACFT. I COULD NOT KEEP FROM PASSING THEM ON THE L. WE HAD LOST SIGHT OF THE B727 AND WERE RELUCTANT TO DEVIATE TO THE L. I WAS GLAD FOR MY FORMATION AND AERIAL REFUELING EXPERIENCE. THE QUESTION THAT BEGGED FOR OUR ANSWER IS; WHY -- WHEN WE WERE STABILIZED ON THE APCH -- WE WERE SIDESTEPPED TO THE ADJACENT RWY? GRANTED; WE HAD ACCEPTED RESPONSIBILITY FOR VISUAL SEPARATION; THE POOR CAPTURE TECHNIQUE OF THE OTHER CREW SEVERELY COMPROMISED SAFETY FOR ALL. THE BEST COURSE OF ACTION WOULD HAVE BEEN TO VECTOR ACR Y BEHIND US TO FOLLOW; OR TO CROSS BEHIND FOR RWY 24L. ALSO; RETRAINING OF THE OTHER CREW CONCERNING TURN-ON AND CAPTURE TECHNIQUES MIGHT BE IN ORDER. EXTRAORDINARY EVASIVE MANEUVERS WITH TERRAIN WITHIN 3000 FT WITH A LARGER ACFT TO OUR L ARE TOO FUN ON THE FIRST LEG OF THE DAY.