A320 FLC HDG TRACK POS DEV. OVERSHOT TURN AND HAD POTENTIAL CONFLICT WITH UNKNOWN TFC ON PARALLEL RWY DURING A VISUAL APCH INTO IND.

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AFTER BEING VECTORED TO DOWNWIND FOR RWY 23R AT IND; WE WERE GIVEN A DSCNT FROM 7000 FT TO 4000 FT ABEAM THE FIELD. ABEAM RIBER INTXN WE WERE GIVEN TFC AT 3 O'CLOCK; A B727 ON FINAL TO RWY 23R. WE RPTED IT IN SIGHT AND WERE CLRED FOR A VISUAL APCH TO RWY 23R. WE WERE USING THE AUTOPLT; CONTINUED ABOUT A MI EBOUND AND THEN BEGAN A R TURN TOWARD FINAL. WE ALSO SELECTED 3000 FT AND CONTINUED OUR DSCNT. WE NOTICED TFC AT 1-2 O'CLOCK POS; ABOUT THE SAME ALT BUT COULD NOT DETERMINE HOW FAR AWAY IT WAS. THE WINDS WERE OUT OF THE NW AND HAD BLOWN US TOWARD FINAL (A FACT I HAD NOT NOTICED) AND THE TURN ON THE AUTOPLT DIDN'T SEEM TO BE BRINGING US AROUND AS I HAD EXPECTED IT TO. THE CAPT POINTED THIS OUT AND MENTIONED THE 1-2 O'CLOCK TFC. I DISCONNECTED THE AUTOPLT AND INCREASED THE TURN RATE. IT BECAME OBVIOUS THAT WE WERE GOING TO OVERSHOOT AND THE PREVIOUS 1-2 O'CLOCK TFC WOULD BE A FACTOR. WE THEN RECEIVED A TCASII RA TO DSND. I COMPLIED AND PASSED BEHIND AND BELOW THE TFC. HE WAS APPARENTLY ON FINAL FOR THE PARALLEL (RWY 23L). APCH ASKED US IF WE HAD THE B727 IN SIGHT BUT THE ACFT WE ENCOUNTERED WAS NOT A B727. ONCE CLR; WE WERE VECTORED AROUND FOR ANOTHER VISUAL. PRIMARY CAUSE: WE WERE NOT AWARE OF PARALLEL TFC. I WAS NOT AWARE OF HOW TIGHT TO FINAL WE HAD BEEN BLOWN AND AT FINAL; OUR AIRSPD WAS AROUND 210 KIAS. SO OUR TURN RADIUS; ALONG WITH OVERSHOOTING XWINDS; CAUSED US TO OVERSHOOT. AS THE PF I LOST SITUATIONAL AWARENESS WITH REGARDS TO THE AIRFIELD BUT HAD WE KNOWN ABOUT THE PARALLEL TFC; WE COULD HAVE DELAYED OUR TURN TO FINAL TO STAGGER BEHIND HIM. HUMAN FACTORS: AFTER FLYING YVR-MSP THAT MORNING; ACFT CHANGE IN MSP; ON TIME DEP FROM MSP GATE WE HAD TO BE DEICED. A COMPUTER MALFUNCTIONED DURING DEICING SO WE RETURNED TO THE GATE. 45 MINS LATER WE PUSHED AGAIN BUT HAD TO WAIT 2 HRS TO GET DEICED AGAIN. NO FOOD WAS BOARDED AT MSP SO IT HAD BEEN ABOUT 6 HRS SINCE WE HAD EATEN BREAKFAST WHEN WE FINALLY DEPARTED. OUR DAY BEGAN BEFORE SUNRISE AND THIS INCIDENT OCCURRED 2 HRS AFTER SUNSET.