RPTR EXPERIENCED A NMAC WHILE CONDUCTING A VISUAL APCH WITH ACFT Y WHO WAS ALSO INBOUND FOR LNDG. ACFT X WAS ON FINAL AND CLRED TO LAND BY TWR. ACFT Y CONTACTED TWR AND WAS GIVEN ACFT X HAS TFC; BUT NMAC HAD ALREADY OCCURRED.

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WE WERE ENRTE FROM BGM TO MMU. AFTER XING THE HUO VOR; THE ROUTING WAS V489 TO COATE INTXN; THEN DIRECT TO MMU. SHORTLY AFTER LEAVING COATE; WE WERE TOLD TO NAV DIRECTLY TO THE MMU ARPT AND TO CALL THE FIELD IN SIGHT FOR A VISUAL. WE WERE GIVEN SEVERAL TA'S OF ACFT THAT WOULD PASS NEAR US CLOSE TO OUR ALT. AFTER ADVISING NY APCH THAT WE HAD VISUAL CONTACT WITH THE ARPT; WE WERE CLRED FOR THE VISUAL APCH; R TFC; TO RWY 23 AND TOLD TO SWITCH TO THE TWR FREQ. THE MMU TWR CTLR TOLD US THAT WE WERE #3 FOR THE ARPT AND TO EXTEND THE R DOWNWIND LEG FOR 2 OTHER ACFT LNDG ON RWY 12. NOT KNOWING THE POS AND DISTANCE FROM THE FIELD OF THE #1 AND #2 ACFT; WHEN WE WERE APPROX 3 MI OUT ON THE DOWNWIND LEG WE ASKED THE TWR CTLR FOR PERMISSION TO TURN BASE. SHE LAUGHINGLY SAID; 'NOT IF YOU WANT TO ALLOW ROOM FOR THE OTHER ACFT; YOU WON'T.' WE WERE THEN TOLD ABOUT A SINGLE-ENG AIRPLANE AT 1500 FT INBOUND FROM THE N. THE TFC WAS NOT SPOTTED. WE WERE AT 1700 FT. WHEN WE WERE 6.5 MI FROM THE FIELD (ACCORDING TO THE GNS); WE AGAIN ASKED FOR PERMISSION TO TURN BASE. IT WAS NOW GRANTED; AND WE WERE GIVEN A TA ABOUT A SINGLE- ENG CESSNA FOLLOWING HWY 80 SW AT 1700 FT. WE HAD JUST DSNDED FROM 1700 FT TO 1500 FT. THE TFC WAS NOT SPOTTED; AND WE TURNED ON THE FINAL LEG BEFORE REACHING THE HWY; TRACKING INBOUND ON THE LOC. INSIDE OF MOREE LOM; WE WERE GIVEN CLRNC TO LAND ON RWY 23. WITHIN MOMENTS AFTER RECEIVING THIS CLRNC; A TWIN-ENG ACFT THAT APPEARED TO BE COMING OUT OF A L TURN; PASSED LESS THAN 100 FT ABOVE US AND TOLD THE TWR IT HAD TURNED ON 'FINAL.' OUR AIRSPD WAS APPROX 120 KTS AT THIS POINT AND THE TWIN WAS GOING 10-20 KTS FASTER. WE GOT A GOOD LOOK AT THE LNDG GEAR EXTENSION OF THE TWIN (IT WAS A BEECHCRAFT KING AIR). THE TWR CTLR ACKNOWLEDGED THE XMISSION FROM THE KING AIR AND TOLD THEM TO LOOK FOR A CITATION; 'APPROX 1 MI IN FRONT OF YOU.' THE KING AIR PLT SAID THEY DIDN'T SEE ANY CITATION. AT THIS POINT; I DECLARED A 'NEAR-MISS' TO THE TWR AND BRIEFLY DESCRIBED WHAT HAD JUST HAPPENED. I ASKED THE TWR IF THEY WANTED US TO 'GAR' OR IF THEY WERE GOING TO SO INSTRUCT THE KING AIR. THE KING AIR; ACFT Y; WAS THEN GIVEN A 'GAR' AND WE WERE REISSUED OUR CLRNC TO LAND ON RWY 23. AFTER LNDG; I ASKED THE TWR FOR A PHONE NUMBER TO CALL THE WATCH SUPVR. WE WERE GIVEN THE NUMBER AND TOLD TO ASK FOR THE SUPVR. SUPPLEMENTAL INFO FROM ACN 306988: I WAS THE FO ON A CESSNA CITATION II. WE WERE REPOSITIONING THE AIRPLANE FROM BINGAHTON; NY; TO MORRISTOWN; NJ. I WAS THE PF AND THE CAPT WAS PNF. THE TWR CTLR HAD MANY ACFT IN PATTERN FOR RWY 12 AND SHE TOLD US TO EXTEND OUR DOWNWIND FOR TFC WHICH WE DID. AS I CONTINUED ON THE APCH; APPROX 1 1/2 MI OUT ON FINAL WE WERE NEARLY HIT BY A KING AIR THAT OVERTOOK US ON FINAL. MY CAPT THEN INFORMED THE TWR THAT THE KING AIR WAS NOW IN FRONT OF US AND THAT WE HAD A NEAR MISS. THE KING AIR CREW RPTED THAT HE NEVER SAW US AND CTLR TOLD KING AIR TO GAR. I LANDED THE ACFT WITH NO FURTHER INCIDENT.