MD80 CREW HAD A TCASII RA WITH TFC THEY WERE ASSIGNED TO FOLLOW AT DFW.

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RA DURING VISUAL TO RWY 35R DFW. OFF OF THE BONHAM ARR TO DFW; WE WERE DSNDING ON THE DOWNWIND FOR AN APCH TO RWY 35R AT DFW. FORT WORTH APCH (119.4) CALLED A B727 AS OUR TFC AND ASKED IF WE HAD IT. WE REPLIED THAT WE THOUGHT WE DID. APCH GAVE US A BASE TURN AND CLRED US THE VISUAL TO RWY 35R. TURNING TO THE W; WE ASKED FOR CLARIFICATION OF OUR TFC AS THERE WERE NUMEROUS VISUAL TARGETS. APCH CONFIRMED THE TFC WE CALLED AND SENT US OVER TO DFW TWR; AGAIN CLRING US THE VISUAL RWY 35R. THE FO WAS FLYING AND BOTH OF US WERE TRYING TO SORT OUT THE NUMEROUS ACFT ALL APCHING DFW. IN SO DOING; HE OVERSHOT THE CTRLINE FOR RWY 35R. I CALLED TFC 400 FT ABOVE AND UNCOMFORTABLY CLOSE. AT THAT TIME HE WAS ALREADY CORRECTING BACK TO CTRLINE. WE RECEIVED AN RA TO DSND; WHICH WE DID; WHILE RETURNING TO CTRLINE. I BELIEVE THE OTHER ACFT WAS ON APCH TO RWY 35C AND ON FREQ 126.55 THAT HE RECEIVED AN RA TO CLB AS HE APPEARED TO DO SO. THE REMAINDER OF THE APCH/LNDG WAS NORMAL. WX WAS RPTED AS CLR WITH 8 SM VISIBILITY AT THE TIME; THOUGH HAZY. IN THE FUTURE; GIVEN A SIMILAR SIT; DENSE TFC; NIGHTTIME; AND LESS THAN PERFECT VISIBILITY; I WILL NOT ACCEPT A VISUAL APCH; EVEN THOUGH WE HAVE THE RWY IN SIGHT. SUPPLEMENTAL INFO FROM ACN 463091: JUST PRIOR TO TURN FROM DOWNWIND TO BASE; CTLR GAVE GARBLED XMISSION THAT SOUNDED LIKE 'I'M GOING TO SQUEEZE YOU IN BTWN TO ACFT ON FINAL.' PREVIOUSLY WE HAD BEEN TOLD TO EXPECT RWY 35R. WE COULD SEE AT LEAST 5 ACFT ON FINAL FOR RWY 36L/35C/35R; BUT NOT THE ARPT DUE TO HAZE. HE ISSUED TFC TO FOLLOW AT 2:30 O'CLOCK POS AND GAVE A WBOUND TURN TO BASE LEG. WE HAD 2 ACFT AT THAT POS -- ONE APPEARING SLIGHTLY HIGHER THAN THE OTHER. PNF QUERIED WHICH ONE WAS OUR TFC; AND A VERY BUSY CTLR REPLIED 'FOLLOW THE B727 AT 1 O'CLOCK POS; CONTACT TWR.' AS WE FOLLOWED THAT TFC; WE NOTED TFC CLOSING AT 11 O'CLOCK POS AND AS WE TURNED TOWARD THE ARPT TO FOLLOW OUR TFC; WE GOT AN RA WITH A 1500 FPM DSCNT COMMAND FROM THE 11 O'CLOCK POS TFC. WE COMPLIED WITH THE RA AND WHEN CLR OF CONFLICT; OUR TFC TO FOLLOW WAS NOW L (W) OF OUR NOSE AND WE NOTED WE WERE L (W) OF THE RWY 35R LOC BY 2 DOTS. WE CORRECTED TO LOC CTRLINE AT ABOUT 8 MI FROM THE ARPT AND NOW NOTED THE TFC WE WERE ATTEMPTING TO FOLLOW WAS DEFINITELY GOING TO RWY 35C. NEVER DID SEE ANY TFC IN FRONT OF US LINED UP ON RWY 35R. CONTINUED APCH AND LANDED.