ACR ON ILS TO RWY 35 AT MSP EXECUTED WX MISSED APCH THEN ISSUED OPPOSITE DIR TURN FROM LCL CTLR. REPORTER QUESTIONED ATC'S FAMILIARITY WITH PROC.

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SHOOTING CONVERGING ILS RWY 35 APCH TO MSP. ACFT PRECEDING US ON THE APCH RPTED TO TWR THAT CEILINGS WERE RIGHT AT MINIMUMS AND SUGGESTED THEY TURN UP THE LIGHTS. DECISION HT ON THIS APCH IS A FAIRLY HIGH 1684 FT; PRESUMABLY SO THE MISS WILL OCCUR EARLIER AND NOT CONFLICT WITH THE APCHS TO THE 30'S. MISSED APCH ON RWY 35 REQUIRES IMMEDIATE CLBING L TURN TO FL240; ALSO PRESUMABLY TO KEEP CLR OF TFC ON THE 30'S. SHOT APCH AND DID NOT BREAK OUT AT DECISION HT. EXECUTED THE PUBLISHED MISSED APCH AND RPTED SO DOING TO THE TWR. WE WERE; AT THAT TIME; IN THE CLBING L TURN TOWARD THE 240 DEG HDG GOING THROUGH ABOUT 2000 FT. TWR INSTRUCTED TO TURN R TO 040 DEGS AND CLB TO 3000 FT. WE REVERSED THE DIRECTION OF THE TURN. TWR CAME BACK A FEW SECONDS LATER AND REITERATED THE INSTRUCTION TO TURN TO 040 DEGS. WE ACKNOWLEDGED AGAIN. WE HAD TO WONDER AT TIME IF 1) THE TWR EVEN KNOWS WHAT THE MINIMUMS ARE ON THE CONVERGING RWY 35 ILS; AND MORE IMPORTANTLY; 2) IF THE TWR CTLR HAS ANY IDEA WHAT THE PUBLISHED MISSED APCH PROC IS ON THAT APCH. WE WERE SUBSEQUENTLY VECTORED FOR A RWY 30L APCH. DESPITE THE TWR'S UNEXPECTED DEV FROM THE PUBLISHED MISSED APCH PROC; THE MISS AND THE SUBSEQUENT APCH WENT SMOOTHLY AND THE ACFT LANDED WITHOUT INCIDENT.