2 ACR'S MEET HEAD ON COMPLIMENTS OF ATC. TCASII RA AND SEE AND BE SEEN PREVENT DISASTER. CTLR WOULD NOT DISCUSS IT.

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ACFT ON 150 DEG HDG; MCI APCH CTL BEING VECTORED FOR VISUAL APCH TO RWY 19L MCI. AIRSPD 250 KIAS ALT 7000 FT MSL. WHILE ON VECTOR; CREW OBSERVED ACFT TARGET ON TCASII APCHING FROM E AT SAME ALT HEADING WBOUND. CREW DISCUSSED POTENTIAL EVASIVE ACTION. CREW ATTEMPTED TO CALL ATC TO INQUIRE ABOUT WBOUND ACFT AND TO STATE THAT WE WERE TURNING R TO AVOID TARGET. THERE WAS NO RESPONSE FROM ATC. WE STARTED R TURN AND REDUCED PWR FOR POSSIBLE DSCNT. TCASII THEN ISSUED TA. WE STARTED DOWN TO AVOID CONFLICT WHEN TCASII RA WAS ISSUED; DSND; DSND; NOW. NOSE OVER AND SPD BRAKES DEPLOYED TO COMPLY WITH TCASII ADVISORY COMMAND. THE TCASII THEN STATED INCREASE DSCNT. AT THIS POINT THE ACFT IN CONFLICT; A B737; WAS IN VISUAL CONTACT; AND CLRLY A THREAT. WE DSNDED TO 5200 FT MSL AND LEVELED AT 5800 FT MSL TO AVOID TFC AND COMPLY WITH TCASII COMMANDS. I STATED TO ATC OUR TCASII CONFLICT; AND OUR ACTIONS BASED ON TCASII RA. I STATED THAT BASED ON THE TA; WE HAD DSNDED AND LEVELED AT 5800 FT MSL. I ASKED ATC WHAT ALT HE WANTED US LEVEL AT. HE STATED 5000 FT MSL. I STATED TO CTLR THAT WE WERE LEVEL AT 7000 FT MSL; 250 KTS AND ON ASSIGNED 150 DEG HDG PRIOR TO THE CONFLICT AND ASKED WHERE THE OTHER ACFT CAME FROM. HE RESPONDED THAT THE B737 WAS BEING VECTORED TO RWY 19R BY ANOTHER CTLR AND HE WOULD NOT COMMENT ON ANY OTHER STATEMENTS. WE LANDED ON RWY 19L MCI. SUPPLEMENTAL INFO FROM ACN 445327: CORRECTIVE ACTION: ATC TO FOLLOW THEIR PROCS. HAVING 2 ACFT HEADING IN OPPOSITE DIRECTIONS AT THE SAME ALT WITHIN THE SAME APCH CORRIDOR/SECTOR AND TALKING TO SEPARATE CTLRS DOES NOT SEEM TO BE VERY SAFE. CONTRIBUTING FACTORS: THE 2 ACFT IN THE SAME AREA CTLED BY 2 DIFFERENT CTLRS. ALSO; TRYING TO GET A PARTICULAR ACFT TO A SPECIFIC RWY (L OR R SIDE) FOR EASE OF GATE ACCESS; DECREASE TAXI TIMES OR RAMP CONGESTION. NEED TO HAVE A METHOD OR PROC SET IN MOTION FOR THIS IF YOU TRY TO ACCOMMODATE FOR THE PURPOSE RWY SELECTION.