A FALCON 20 CARGO FLC INTERCEPTS ILS RWY 19R INSTEAD OF RWY 19L AS CLRED BY ATC AT 6 MI N OF MCI; MO.

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OUR ACFT WAS CLRED FOR VISUAL APCH TO RWY 19L AT MCI ARPT. WE THOUGHT IT WAS FOR RWY 19R AND BEGAN TO INTERCEPT THE LOC FOR RWY 19R. APCH MENTIONED WE WERE THROUGH THE LOC FOR RWY 19L. WE REALIZED THE PROB AND ASKED FOR VISUAL TO RWY 19R. WE WERE THEN CLRED FOR A VISUAL APCH TO RWY 19R AND HANDED OVER TO MCI TWR. WE (CAPT AND FO) CANNOT REMEMBER EXACTLY WHAT RWY WE WERE CLRED FOR; AND I CAN'T REMEMBER TO WHAT RWY I ACKNOWLEDGED FOR THE CLRNC. THERE ARE 2 FACTORS THAT CONTRIBUTED TO THIS EVENT: 1) CREW FATIGUE: THIS IS A NON SCHEDULED FAR PART 121 AIRLINE WE WORK FOR. WE ARE ON THE PAGER 24/7; AND HAVE NO SPECIFIED DUTY DAY; UNLIKE PAX CARRIER. WE WERE ALERTED FOR THIS TRIP AT XA00. BOTH MYSELF AND THE FO HAD LESS THAN 2 HRS OF SLEEP. WE BOTH HAD BEEN UP ALL DAY WAITING FOR A TRIP. OUR RTE WAS YIP TO PTK. WE WAITED ABOUT 2.5 HRS FOR FREIGHT. WE WERE TOLD THIS WAS A 'CODE X' TRIP AND THE FREIGHT WAS WAITING FOR US. A CODE X TRIP IS DEFINED BY OUR COMPANY AS URGENT; AN AUTO FACTORY MAY SHUT DOWN IF WE DON'T EXPEDITE THE TRIP. THERE IS A GREAT DEAL OF PRESSURE FROM MGMNT TO ACCEPT ALL TRIPS; REGARDLESS OF ADEQUATE REST. SO; BY THE TIME WE WERE LNDG AT MCI; WE EACH HAD APPROX 3 HRS OF SLEEP IN THE LAST 24 HRS. THIS WAS ALL COMPLETELY LEGAL ACCORDING TO APPLICABLE FARS AND COMPANY POLICY. HOWEVER; WHILE WE BOTH FELT CAPABLE OF COMPLETING THE TRIP SAFELY; FATIGUE CAN EFFECT JUDGEMENT BEFORE YOU REALIZE IT. GETTING PAGED FOR TRIPS LIKE THIS WITH LITTLE TO NO SLEEP IS QUITE COMMON IN THE NON SCHEDULED CARGO INDUSTRY; AND NEEDS TO BE CHANGED. 2) ANTICIPATING A CLRNC: WE ALWAYS LAND ON RWY 194 BECAUSE IT IS ADJACENT THE CARGO RAMP. SO I ANTICIPATED RWY 19R; AND THUS DID NOT HEAR THE CLRNC FOR RWY 19L. HOWEVER; I BELIEVE THE CHANCES OF MISSING THE CLRNC WOULD HAVE BEEN GREATLY REDUCED IF NOT ELIMINATED HAD WE HAD ADEQUATE REST.