A LNDG B727 FLC GETS TOO CLOSE TO A TOUCH-AND-GO CESSNA ON RWY 30 AND PERFORMS A GAR AT BZN; MT.

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WE WERE ON A VISUAL APCH TO RWY 30 AT BZN; MT. ANOTHER ACFT WAS IN TOUCH-AND-GO CLOSED PATTERN WHEN A THIRD ACFT CALLED DEPARTING ON RWY 12. HE WAS ASKED TO CONFIRM RWY 12; WHICH HE DID. WE WERE CONSUMED IN FINDING HIS ACFT AND SLOWING FOR HIS DEP WHEN ANOTHER ACFT CALLED DEPARTING RWY 21. WHEN WE DETERMINED THAT HE WOULD NOT BE A FACTOR; WE FOUND THE TOUCH-AND-GO ACFT ARRIVING ON FINAL -- WE WERE ON BASE. HE WAS TOUCH-AND-GO SO I DETERMINED TO CONTINUE. WHEN HIS TOUCH-AND-GO TOOK MORE TIME THAN I EXPECTED; WE EXECUTED A GAR AT THE LAST MIN. UPON DSNDING INTO BZN; I BRIEFED THAT WE WOULD FLY A VISUAL PATTERN TO EITHER JOIN A L BASE TO RWY 30 OR CROSS OVER THE FIELD AND JOIN L DOWNWIND FOR RWY 12 DSNDING ON TFC IN THE PATTERN. I SAID WE WOULD JOIN THE L BASE FOR RWY 30. AN ACFT RPTED THAT HE WAS ABOUT TO DEPART ON RWY 12. I LOOKED AT THE DEP END OF RWY 12 AND DID NOT SEE HIM. AT THIS TIME CESSNA RPTED TURNING BASE FOR RWY 30. SINCE WE WERE NOW TURNING A WIDE BASE FOR RWY 30; WE BEGAN A SERIOUS SEARCH FOR HIM. HE WAS ON TCASII 900 FT LOWER THAN US. AT THIS TIME THE FO RPTED THAT HE SAW THE DEPARTING TFC AND THAT HE HAD TAKEN OFF ON RWY 30; NOT RWY 12 AS HE STATED. NOW THE ACFT ON BASE RPTED TURNING FINAL FOR RWY 30 AND WE FINALLY SAW HIM. AT THIS TIME HE WAS ON 1/4 MI FINAL AND WE WERE ON 1 1/2 - 2 MI BASE APCHING FINAL. I OVERSHOT THE FINAL SOME TO GAIN MORE INTERVAL BUT DETERMINED THAT WE WERE IN RELATIVELY GOOD POS SINCE HE WAS DOING A TOUCH-AND-GO. WHEN HE TOUCHED DOWN; I WOULD ESTIMATE WE HAD 1 1/2 - 2 MI SEPARATION. I KNEW THIS WAS MINIMAL; BUT DECIDED THAT SINCE HE WAS DOING A TOUCH-AND-GO THAT WE WOLD BE OK. HE LANDED AND ROLLED ABOUT 1000 FT WHEN I ASKED 'IS HE TOUCH-AND-GO?' THE FO REPEATED MY QUESTION ON THE RADIO AND THE CESSNA CONFIRMED TOUCH-AND-GO AND STARTED CLBING OFF THE RWY SLOWLY. AS HE WAS VERY SLOWLY CLBING; WE WERE APCHING THE END OF THE RWY. IT NOW BECAME APPARENT THAT WITH HIS VERY SLOW CLB AND LONG ROLLOUT PREVIOUSLY THAT WE WOULD NOT BE ABLE TO LAND SAFELY. WE EXECUTED A GAR TO HIS L SIDE AND THE FO TOLD HIM ON THE RADIO WE WERE GOING AROUND ON YOUR L SIDE. THE REASON MY DECISION TO GO AROUND WAS DELAYED IS THAT I EXPECTED HIS TOUCH-AND-GO TO CLR THE AREA MUCH QUICKER THAN IT DID.