A320 AND DC9-30 HAD AN NMAC IN M98 CLASS B AIRSPACE. ONE ACFT ON A MISSED APCH AND THE OTHER ON TKOF CLBOUT.

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ON MISSED APCH FROM MSP RWY 12R APCH; TWR GAVE RWY HDG; CLB 3000 FT. THE CTLR THEN GAVE US A R TURN AND CLB TO 5000 FT. HE CANCELED A FREQ CHANGE THEN GAVE US A DEP/APCH CTL FREQ. PASSING ABOUT 4000 FT WE GOT A TCASII 'MONITOR VERT SPD' FOLLOWED BY 'CLB;' AND SEVERAL MORE 'MONITOR VERT SPD.' APCH CTL ISSUED A STOP CLB AT 4000 FT; BUT WE WERE ALREADY PASSING 4300 FT AND HIS INSTRUCTION WOULD HAVE BEEN IN CONFLICT WITH TCASII. I ROLLED THE ACFT R AND REDUCED THE CLB RATE UNTIL TCASII ANNOUNCED CLR OF CONFLICT. WE LEVELED OFF AND APCH CTL BROUGHT US AROUND FOR A SUCCESSFUL LNDG ON RWY 12R. THOUGH THIS WHOLE ENCOUNTER LASTED PROBABLY LESS THAN 1 MIN; I ESTIMATE OUR ACFT CAME WITHIN 300-500 FT OF EACH OTHER. OTHER THAN THE TCASII RA; WE NEVER SAW THE OTHER ACFT VISUALLY. SUPPLEMENTAL INFO FROM ACN 504241: AFTER DEP FROM RWY 12L (INITIAL CLRNC 120 DEG HDG CLB 7000 FT) DEP CTLR (MSP DEP) GAVE CLRNC TO 'TURN R HDG 240 DEGS; CLB TO 17000 FT; EXPEDITE THROUGH 7000 FT.' TURNING THROUGH ABOUT 200 DEGS AND CLBING THROUGH 4000 FT; GOT A TCASII RA TO DSND. COMPLIED WITH ADVISORY AND SAW ANOTHER ACFT GO BY AT 11 O'CLOCK POS ABOUT 500 FT ABOVE. WE LEVELED AT 4000 FT. CLR OF CONFLICT. BAD WX AT MSP MAY HAVE CONTRIBUTED TO CTLR ERROR. COMMENTS: DSNDING RA'S DURING CLBS ARE DIFFICULT TO COMPLY WITH. A 20 DEG PITCH CHANGE WAS REQUIRED. ALSO; TCASII SHOULD BE REQUIRED EQUIP. IT SAVED THE DAY.