WDB READY FOR TKOF HAS PAX LEAVE SEAT FOR LAVATORY. REFUSES TO RETURN TO SEAT. TKOF CLRNC CANCELED; TAXI OFF RWY.

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ON FLT MSP TO DTW WE HAD A PAX WITH A MASSIVE BLADDER ATTACK AND POOR TIMING. TFC WAS STACKED UP AND WE HAD A 20 MIN DELAY IN TAKING OFF. WE WERE CLRED INTO POS ON THE RWY BEHIND LNDG TFC AND PREPARED FOR AN IMMEDIATE TKOF AHEAD OF TFC ON A 2 MI FINAL APCH. WE HAD SIGNALED THE FLT ATTENDANTS THAT WE WERE TAKING THE ACTIVE RWY WHEN A PAX; MR. X; BOLTED OUT OF HIS SEAT AND HEADED INTO THE LAVATORY. FLT ATTENDANT ASKED HIM TO RETURN TO HIS SEAT. HE IGNORED HER REQUEST. SHE THEN DEMANDED HE BE SEATED. HE STILL IGNORED HER COMMAND. SHE PROMPTLY CALLED THE LEAD FLT ATTENDANT WHO CALLED US IN THE COCKPIT. WE CANCELED OUR TKOF CLRNC AND HEADED FOR THE NEAREST EXIT; IT WAS BLOCKED BY DEPARTING TFC. WE THEN HEADED 2000 FT DOWN THE RWY TO THE NEXT TURNOFF. TFC ON FINAL APCH WAS CLOSING IN ON OUR TAIL AS WE DEPARTED THE RWY AN ACFT WHIZZING PAST OUR TAIL WITH PRECIOUS FEW FT TO SPARE. IT WAS THE QUICK THINKING; AND TIMING OF OUR FLT ATTENDANT THAT ALLOWED ME THE TIME TO CLR THE RWY IN TIME. YES! THE ACFT ON FINAL COULD HAVE GONE AROUND; BUT HE ELECTED TO LAND BASED ON WHAT HE COULD SEE AS WE HEADED FOR THE EXIT. THE PROB IN CLRING THE RWY WAS CRUSTY ICE AROUND THE EDGES. AFTER WE CLRED THE RWY; I STOPPED THE ACFT AND CHKED WITH THE LEAD FLT ATTENDANT. THE PAX RETURNED TO HIS SEAT AND NO FURTHER ACTION APPEARED NECESSARY. AT OUR CRUISE ALT; I CALLED THE LEAD FLT ATTENDANT TO CHK IF THE PAX WAS STILL BEHAVING. THE RPT WAS THAT HE SMELLED OF ALCOHOL; WAS LOUD; AND WHEN THE FLT ATTENDANT TOLD THE PAX THE PROB HE HAD CREATED HE STATED: 'WHAT ARE THEY GOING TO DO CALL THE POLICE?' IT WAS ONLY A 1 HR FLT AND I DID NOT HAVE TIME TO SPEAK TO THE PAX INFLT. I DID CALL DTW AND ASK THEM TO HAVE A SUPVR MEET THE FLT WITH A POLICE BACKUP. ON THE GND; THE POLICE BOARDED THE FLT AND WE ALL REVIEWED THE WHOLE FLT PROB WITH MR. X AGAIN. AFTER 15 MINS HE FINALLY SAID HE WAS SORRY AND WANTED TO FORGET THE WHOLE AFFAIR. THE POLICE RELEASED HIM BUT ADVISED HIM A RPT WOULD BE FORWARDED TO THE FAA.