ACR X TCASII RA WITH VFR ACFT Y DISRUPTIVE TO ATC. EVASIVE ACTION CLB.

Narrative

ACR X GIVEN A DSCNT TO 2500 FT ON A HDG OF 070 DEGS. THE FO; WHO WAS FLYING (AND WAS VERY EXPERIENCED) STATED THAT HE HAD THE FIELD IN SIGHT (TO ME). APCH THEN STATED THAT WE WERE FOLLOWING A B-737 TURNING BASE AT 1 O'CLOCK AND TO RPT HIM INSIGHT. I REPLIED; 'WE HAVE AN ACFT IN SIGHT.' APCH THEN SAID; FOLLOW AND MAINTAIN VISUAL SEPARATION -- YOU ARE CLRED FOR A VISUAL RWY 24R.' WHEN TURNING BASE AT 2500 FT AND 1 NM FROM THE FIELD; WE COULD NOT SEE THE FIELD BECAUSE OF THE HAZE. I ASKED APCH; 'WHERE IS OUR TFC?' APCH SAID; 'DO YOU HAVE THE TFC IN SIGHT?' I ASKED MY FO IF HE STILL HAD THE OTHER ACFT; AND HE SAID; 'I LOST HIM.' I RPTED THIS TO APCH; AND THEY SAID; 'TURN R TO 360 DEGS; MAINTAIN 2500 FT.' WE THEN RECEIVED A TURN TO 070 DEGS; AND RECEIVED AN RA TO 'CLB;' AND WE DID; TO 2700 FT; UNTIL THE WARNING CEASED. I INFORMED THE CTLR THAT WE HAD DONE THIS; AND HE SAID; 'TELL ME IF YOU ARE DOING THAT; BECAUSE I HAD TFC DSNDING ABOVE YOU.' I DID NOT RESPOND; BECAUSE THE CTLR WAS OBVIOUSLY OVERLOADED. THE CTLR THEN GAVE US A TFC (ACFT Y) 500 FT BELOW; WHICH WE VISUALLY ACQUIRED. WE WERE THEN VECTORED FOR THE ILS RWY 24R APCH AND LNDG. IN THIS CASE; THE CTLR DID NOT ATTEMPT TO 'FORCE' THE VISUAL AND BAILED US OUT FOR THE ILS. BECAUSE HE WAS OVERLOADED; HE DID NOT GIVE US TA'S UNTIL AFTER I RPTED THE RA.