ACR ON APCH. TCASII SHOWS CLOSE PROX TARGET FROM ACFT ON PARALLEL APCH. CTLR SAYS TFC HAS YOU IN SIGHT. HAS TCASII RA TO CLB WHILE LOOKING FOR TFC. RESPONDS. TFC CROSSES 100-200 FT BELOW. NOT PARALLEL TFC.

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ON FINAL APCH; INSIDE OM ILS 12R-HON TCASII SHOWS 'EXTREMELY CLOSE' TARGET ON PARALLEL APCH TO 12L. TWR ADVISES US AND SAYS 'HE HAS YOU IN SIGHT.' FAVORED R SIDE OF LOC AND STAYED SLIGHTLY HIGH ON GS TO FACILITATE VISUAL CONTACT. ABOUT THAT TIME (ACCORDING TO A TWR PERSON IN LATER PHONE CONVERSATION) AN SMT WAS MAKING A VISUAL APCH TO 22. AT SOME POINT IN HIS APCH HE WAS ADVISED TO MAKE A L TURN. INSTEAD HE MADE A R TURN DIRECTLY INTO OUR PATH ON THE ILS. WE WERE TRYING TO MAKE VISUAL CONTACT WITH THE TCASII TARGET ON OUR L AND WERE NOT AWARE OF ANY OTHER TFC. TCASII ANNOUNCED 'MONITOR VERT SPD' THEN 'CLB; CLB; CLB' SHOWING 2000 FPM RATE OF CLB (GREEN BAND). ALTHOUGH WE HAD BEEN ASSURED OUR TFC TO L 'HAD US IN SIGHT;' I COMMANDED FO (WHO WAS PF) TO OBEY TCASII CLB COMMAND. SMT THAT HAD ALLEGEDLY MADE 'WRONG TURN' PASSED 100-200 FT BELOW US L TO R 'LESS THAN A MI' ACCORDING TO FE. I NEVER SAW THAT ACFT. EVASIVE CLB MANEUVER ACCOMPLISHED WITH NO 'UNUSUAL ATTITUDES.' CIRCLED TO LAND UNEVENTFULLY. TWR APOLOGIZED; GND CTL APOLOGIZED. TWR PERSONNEL OBVIOUSLY ASSUMED SMT WOULD MAKE L TURN; LOST VISUAL CONTACT AND NEVER KNEW WE WERE ON 'COLLISION COURSE.' PAST 'SPURIOUS' TCASII WARNINGS ALMOST MADE US IGNORE CLB COMMAND. I'M GLAD WE DIDN'T. MUCH TOO CLOSE FOR COMFORT! SMT PLT SHOULD HAVE TURNED L OR IF UNABLE; LET TWR KNOW HIS INTENTIONS TO TURN R.