HDG TRACK DEV DURING A NON ADHERENCE TO ATC CLRNC INSTRUCTION. POTENTIAL CONFLICT LTSS.

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FLT LNDG AT XX00 ON SEP/XX/94. PROB: COM; DFW APCH CTL TO INCIDENT ACFT; DURING VECTORS FOR FINAL APCH. RESULT: CAME TOO CLOSE TO ACFT LNDG PARALLEL RWY. CONTRIBUTING FACTORS: BOTH CAPT AND FO LESS THAN 100 HRS IN ACFT. FO; LITTLE EXPERIENCE IN DFW OPS. TCASII RA TOO LOUD; UNABLE TO HEAR ATC. SIMILAR SOUNDING CALL SIGNS. BUSY; VFR MORNING RUSH AT DFW. FLT BEING VECTORED ONTO THE L LOC. IT STARTED WHEN I MISSED ATC'S FIRST CALL INSTRUCTING US TO TURN BASE. ATC'S SECOND CALL TO US; CTLR NOTICEABLY UPSET OVER MISSED FIRST CALL. WE ACKNOWLEDGED AND TURNED BASE. WE ARE NOW ON BASE FOR THE L RWY WITH TFC AT OUR 1 O'CLOCK FOR THE R RWY. WE THEN GET A 'TFC' CALL FROM TCASII AND THEN AN RA FROM TCASII BECAUSE OF TFC AT OUR 12 O'CLOCK NOW. THE CAPT INITIATED A TURN ONTO FINAL TO PARALLEL THE CONFLICTING TFC. THE NEXT THING I HEAR IS TURN L IMMEDIATELY HDG 090 DEGS; L TURN IMMEDIATELY 090 DEGS' (THE LOC HDG IS 172 DEGS). THE CTLRS VOICE WAS VERY LOUD AND FRANTIC! I BELIEVE THAT THE CTLR GAVE US A VERY TIGHT INTERCEPT ONTO THE LOC AND WHEN HE CALLED TO GIVE US THE QUICK 90 DEG TURN ONTO FINAL; WE MISSED IT; BECAUSE OF THE TCASII RA. THE TCASII IS VERY LOUD IN THE SAAB 340. WE ARE NOW RECEIVING VECTORS AROUND FOR A SECOND APCH AND THE CTLR SOUNDS VERY FRUSTRATED WITH US. THE FREQ IS STILL VERY CONGESTED AND HE IS BUSY. AT THIS POINT ANOTHER CALL WAS MISSED BY OUR ACFT. I THOUGHT I HEARD XY123 WHO WAS ALSO ON FREQ; BUT ATC WAS GIVING US OUR TURN BACK ONTO BASE. ATC IS VERY UPSET WITH US NOW AND WE WERE ADVISED TO GIVE HIM A CALL ON THE GND. I LEARNED A LOT FROM THE INCIDENT. HAVING FLOWN IN SAN DIEGO FOR THE PAST 10 YRS; I THOUGHT I WAS USED TO ARPT CONGESTION UNTIL DALLAS. I SHOULD HAVE NEVER MISSED THE FIRST CALL FROM ATC; AND IT JUST SNOWBALLED FROM THERE. I COULD SEE THE ENTIRE EVENT UNFOLDING BEFORE MY EYES AND COULD ALMOST GUESS WHAT WAS GOING TO HAPPEN; BUT IN THE FEW SECONDS WHILE IT TRANSPIRED; THERE WAS JUST NO WAY TO GET ALL THIS INFO TO THE CTLR. WE HAD TO WAIT FOR IT TO PLAY OUT ON HIS SCREEN AND TAKE IT FROM THERE. I WILL BE AS DILIGENT AS HUMANLY POSSIBLE IN THE FUTURE. I WOULD SUGGEST; HOWEVER; THAT THE VOLUME ON TCASII BE LOWERED. IF I HAD HEARD A NEW HDG ASSIGNMENT; I COULD HAVE ANSWERED AND REDUCED THE CTLR/ ACFT TENSION. FINALLY; A SHALLOWER; 30 DEG INTERCEPT FOR THE LOC WOULD BE MUCH SAFER; ALLOWING A FEW MORE SECONDS BEFORE CONFLICTS BECOME CRITICAL.