ACFT UNABLE TO CLR RWY DUE TO APPARENT CONFLICT WITH TAXIING ACFT. THE ACFT ON APCH WAS REQUIRED TO GO AROUND.

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THE FO WAS THE PF. I (THE CAPT) WAS THE PNF. THE WX AT MKE AT THE TIME WAS 400 FT OVCST; 3/4 MI VISIBILITY WITH 2600 FT RVR AND HVY SNOW FOR RWY 1L. UPON LNDG ON RWY 1L; TWR ASKED US IF WE COULD MAKE TXWY K BECAUSE THERE WAS AN ACFT BEHIND US ON THE APCH. IT SEEMED POSSIBLE; SO I REPLIED YES. WE CAME TO A COMPLETE STOP ON RWY 1L AND WE XFERRED CTLS. AS I WAS EXITING THE RWY ONTO TXWY K; I SAW AN F16 ON TXWY E TAXIING WITH INTENT TO CROSS TXWY K. I CALLED ON RADIO; TWR FREQ 'STOP THAT ACFT ON TXWY E.' TWR REPLIED 'WHAT ACFT?' I REALIZED THAT MOST LIKELY HE DID NOT KNOW ABOUT THE F16 ON MY R; SO I IMMEDIATELY APPLIED MAX BRAKING. MY ACFT DID NOT STOP; BUT STARTED SKIDDING ON SNOW. A FEW FT LATER; WE CAME TO A COMPLETE STOP WITH THE HELP OF SOME REVERSE THRUST. IN THE MEANTIME; CTLRS MUST HAVE INSTRUCTED THE F16 TO HOLD; AS HE WAS ON GND FREQ AND I ON TWR FREQ. TFC BEHIND US WAS INSTRUCTED TO GO AROUND. WE CONTINUED TAXIING TO OUR GATE. CTLRS HAD NO VISUAL REF TO OUR POS DUE TO HVY SNOW AND FOG.