PARALLEL APCHS WERE IN EFFECT. ACFT CLRED ON RWY 1L. CAPT ASSUMED CTL JUST PRIOR TO INTERCEPTING LOC. COM SWITCHED TO TWR BUT NEGLECTED TO REQUEST R TURNOUT IF GAR WAS NECESSARY. WIND SHEAR WARNING SOUNDED ABOUT 1000 FT AGL AND EXECUTED GAR TO R.

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WE WERE BEING VECTORED FOR ILS RWY 1L AT MCI. BEFORE TURN ONTO FINAL WE WERE TOLD OF LLWS ON APCH PATH. WE TOLD APCH THAT WE WOULD NEED A R TURNOUT IMMEDIATELY IF WE HAD TO GAR. APCH SAID WE SHOULD TELL TWR OF OUR REQUEST. SHORTLY THEREAFTER; CAPT ELECTED TO TAKE OVER AS PF AND WE WERE INTERCEPTING LOC AND SWITCHED TO TWR. TSTMS WERE RAPIDLY APCHING ARPT FROM THE NW. THERE WAS ALSO TFC ON A PARALLEL APCH (BUT LOWER) TO RWY 1R. AT ABOUT 1000 FT AGL OUR WIND SHEAR WARNING SOUNDED AND WE COMMENCED OUR GAR. WE TOLD TWR THAT WE WERE GOING AROUND AND TURNING TO THE E. TFC ON RWY 1R WAS IN VISUAL CONTACT AND NO FACTOR (THEY LANDED). TWR CALLED OUT TFC THAT HAD DEPARTED RWY 1R AND WE VISUALLY ACQUIRED HIM (NO FACTOR). IN ALL OF THE COMMOTION OF XFERRING THE ACFT TO THE CAPT; CONFIGURING THE AIRPLANE; ENCOUNTERING TURB AND WIND SHEAR; I HAD NEGLECTED TO TELL THE TWR OF OUR NEED TO TURN E; AWAY FROM THE TSTM IN THE EVENT OF A GAR. ALTHOUGH TFC WAS NO FACTOR; IT COULD HAVE BEEN. PARALLEL APCHS LIMIT YOUR ESCAPE OPTIONS -- SO DOES APCHING SEVERE WX. THIS COUPLED WITH OTHER DISTRS -- FATIGUE; FLYING THIRD SHIFT; AND 14 HR DUTY DAYS -- SPELLS DISASTER!