B732 FLC INITIATE EVASIVE TCASII RA MANEUVER DUE TO ANOTHER B737. WX A FACTOR.

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APCHING IND; I GOT THE ATIS. WX WAS MVFR (3 MI VISIBILITY). APCHS WERE BEING MADE TO RWYS 23L/R. WE BRIEFED AN APCH TO RWY 23R. COPLT WAS FLYING. AT MIDFIELD; WE WERE AT 4000 FT AND 220 KTS. I NOTICED WE HAD A 27 KT L QUARTERING TAILWIND. AT ABOUT 10 MI; THE CTLR GAVE US A R TURN TO 140 DEGS AND A DSCNT TO 3000 FT. HE ASKED US IF WE HAD TFC AT 12 - 1 O'CLOCK POS OR THE FIELD. I SAW THE TFC AND IMMEDIATELY KNEW WE HAD PROBS. HE WAS 12 - 1 O'CLOCK POS AND SLIGHTLY BELOW US. I SAID TO THE COPLT; 'I HAVE THE ACFT.' WE GOT AN RA. I BANKED THE ACFT HARD R FOR TFC AVOIDANCE. WE GOT A 'BANK ANGLE' ALERT. I THREW THE THROTTLES UP AND TRIED TO MAINTAIN ALT. I SAW THE ACFT GOING UNDER THE NOSE AND LOST SIGHT OF HIM. WHEN I LEVELED THE WINGS ON RWY HDG I SAW WE WERE L OF THE CTRLINE FOR RWY 23L. I USUALLY PICKED UP ON THE OTHER ACFT AND THE FIELD AND LANDED THE ACFT ON RWY 23R. AT THE GATE; I CALLED APCH CTL. SUMMARY: IN MY OPINION; THE WX AT THE FIELD WAS CHANGING TO VFR AND WE WERE ANTICIPATING AN ILS APCH. THE CTLR WAS ANTICIPATING A VISUAL APCH. THAT PIECE OF INFO ALONG WITH THE WIND FACTOR WAS WHAT CAUSED THE BREAKDOWN. ON THE RADAR VECTOR; WE COMPLIED WITH THE INSTRUCTIONS; BUT THE CTLR LOST SIGHT OF WIND FACTOR.