AIR AMBULANCE PLT LNDG AT NON TWR ARPT CUTS OFF ACFT ALREADY IN PATTERN.

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UPON INITIAL CONTACT WITH BTM FSS; ABOUT 25 MI NW OF BTM; I WAS TOLD THAT THERE WAS A METROLINER DEPARTING AND A CESSNA WORKING CLOSED TFC FOR RWY 33 AND THAT THE WIND WAS CALM. WE WERE BEING DISPATCHED TO PICK UP A CRITICALLY ILL PATIENT IN BTM. AS WE NEARED THE ARPT; ABOUT 10 MI TO THE NW; I CALLED TO SAY THAT I WOULD ENTER AN EXTENDED BASE FOR RWY 33. IMMEDIATELY AFTER I HAD MADE THIS CALL; THE FLT NURSE TOLD ME THAT THE AMBULANCE WAS WAITING AND SOME COMMENT THAT THEY WOULD BE TAKING A 'CODE 3' RIDE TO THE HOSPITAL TO PICK UP THE PATIENT. I HEARD NO RADIO TFC FROM THE CESSNA THAT WAS EARLIER RPTED IN THE TFC. I WAS ABOUT TO CALL BTM RADIO TO TELL THEM THAT I WAS GOING TO LAND ON RWY 15 TO SAVE SOME TIME. AT THAT POINT; AN ACFT CALLED IN TO GIVE A POS RPT AND REQUESTED OTHER FLT INFO. BTM TOLD HIM TO GO TO ANOTHER FREQ. APPARENTLY; THE ACFT HAD POOR RECEPTION AND CONTINUED TO TRY TO GET HIS MESSAGE TO BTM RADIO. THE NET RESULT OF THIS WAS THAT THE RADIO WAS TIED UP FOR MINS. DURING THIS TIME; I CHANGED MY MIND AND IN THE INTERESTS OF TIME ELECTED TO LAND ON RWY 15. AS I WAS APCHING THE ARPT FROM R BASE TO FINAL; I SAW THE CESSNA APCHING ME HEAD ON AND ABOVE ME. IT WAS SUFFICIENTLY SPACED THAT I WOULD NOT CALL IT A NEAR MISS. I ASSUMED THAT THE OTHER PLT HAD DEPARTED FROM RWY 22; AS DID THE METROLINER. AFTER THE RADIO FREQ CLRED; I CALL IN MY POS AS SHORT FINAL FOR RWY 33 AND THEN QUICKLY CORRECTED MYSELF AND ANNOUNCED RWY 15 AS MY LNDG RWY. AFTER LNDG; I WAS TOLD THAT I RAN THE CESSNA OUT OF THE TFC PATTERN. AS LUCK WOULD HAVE IT THE OTHER PLT WAS ON HIS FIRST SOLO FLT. I BELIEVE THAT THIS INCIDENT WAS CAUSED BY MY STRONG DESIRE TO GET MY MEDICAL CREW ON THE GND QUICKLY. COM WAS IMPEDED BY AN ACFT DOMINATING AN ADVISORY FREQ WITH TFC NOT IMPORT TO ARPT TFC SAFETY. INFLT INTERCOM COMS AND OUTGOING LIFE FLT RADIO TFC MAY HAVE DISTRACTED ME FROM HEARING THE CESSNA'S RADIO XMISSIONS; IF INDEED HE MADE ANY. SUGGESTIONS FOR SOLUTIONS: PLTS OF LIFEGUARD ACFT SHOULD NEVER BE TOLD 'HURRY; THIS LADY IS DYING.' TA FREQ SHOULD ONLY APPEAR ON APCH PLATES. ENRTE TFC SHOULD NOT HAVE ACCESS TO THESE FREQ. ALL LIFEGUARD OPS SHOULD BE A FAR MANDATED; 2 PLT OP. AT TIMES I MUST MONITOR COMS TFC FROM UP TO 4 SOURCES; SIMULTANEOUSLY. THIS IS THE RISKIEST FLYING JOB I HAVE HAD IN 24 YRS OF FLYING. THIS AEROMEDICAL INDUSTRY BEARS VERY CLOSE INSPECTION. MOST FIXED WING OPS THAT I HAVE SEEN ARE OPERATED WITH 3 PLTS. MINE IS NOT; TODAY IT SHOWED.