A B757-232 ACFT HAD TO TAKE EVASIVE ACTION WHEN ON APCH DUE TO C425 LINED UP ON WRONG RWY.

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ON R DOWNWIND AT SLC; LNDG RWY 16L; WE WERE AT 11000 FT MSL; 340 DEG HDG. WE WERE CLRED BY SLC APCH TO 8000 FT AND TURNED TO 090 DEGS. PASSING APPROX 10000 FT AND 050 DEGS; WE WERE ASKED IF WE HAD THE RWY IN SIGHT. WE DID AND WERE CLRED FOR THE VISUAL APCH; #1 FOR RWY 16L. WE WERE ADVISED OF A LIGHT TWIN LNDG RWY 17. CTLR ADVISED US HE WAS 'UNSURE OF WHAT SHE (LIGHT TWIN) WAS DOING;' AS SHE WAS ERRATIC IN HER APCH. AS WE TURNED FINAL AT ABOUT 8 DME; THE CTLR TOLD US TO MAINTAIN 8500 FT UNTIL WE WERE CLR OF TFC. THE LIGHT TWIN WAS AT 8000 FT AND THE TWR INSTRUCTED HER TO TURN E TO INCREASE SEPARATION. WE DROPPED GEAR AND FULL FLAPS AND SLOWED TO 140 KTS AT 8500 FT. WE THEN GOT A TA ON TCASII; FOLLOWED BY AN RA AND 'MONITOR VERT SPD.' THE LIGHT TWIN THAT HAD BEEN AT OUR 7 O'CLOCK POS HAD TURNED UNDER US AT 8000 FT; THEN TURNED TO APPROX 140 DEG HDG AND PULLED AHEAD OF US AT OUR 10-11 O'CLOCK POS AND APPEARED TO BE CLBING; APCH TOLD US TO MAKE AN IMMEDIATE TURN TO 270 DEGS. WE TOLD HIM WE HAD THE TFC IN SIGHT AND WERE CLR. HE THEN RECLRED US FOR THE VISUAL APCH AND SWITCHED TO TWR. BOTH ACFT LANDED UNEVENTFULLY. WHILE WE WERE TAXIING; WE HEARD GND CTL TELL HER TO CONTACT THE TWR BY PHONE AFTER PARKING. SUPPLEMENTAL INFO FROM ACN 399071: I WAS TOLD TO EXPECT A VISUAL APCH TO RWY 17 AT SLC. APCH VECTORED ME NW OF ALL 3 APCH PATHS (RWY 16L; RWY 16R; RWY 17) BECAUSE OF AN EMER WITH AN F16 NE OF THE ARPT. I WAS GIVEN A HDG TO INTERCEPT THE RWY 17 LOC AND RPTED THE ARPT IN SIGHT. ABOUT 6 MI N OF THE ARPT; I REALIZED I WAS LINED UP FOR RWY 16L. A B757 WAS ON A HIGH R BASE FOR RWY 16L AND WAS TOLD TO STOP HIS DSCNT. I REALIZED MY MISTAKE AND CORRECTED L TO RWY 17. I BELIEVE UNUSUAL FACTORS LED TO THIS OCCURRENCE. NORMALLY; APCH DOESN'T VECTOR ACFT W OF THE INTENDED APCH PATH. I WAS UNFAMILIAR WITH THE AREA AND TFC FLOW PROCS WEREN'T NORMAL THAT DAY. RWY 16R WAS CLOSED FOR THE F16; WHICH LED THE CTLRS TO REPOS THE B757 ONTO RWY 16L. THERE WERE SEPARATE TWR FREQS; SO I WASN'T AWARE OF TFC FOR RWY 16L. EVEN THOUGH IT WAS VFR; FLYING THE ILS APCH WOULD HELP PREVENT A SIT LIKE THIS FROM OCCURRING IN THE FUTURE.