OPPOSITE DIRECTION APCH -- BACK COURSE FRONT COURSE AT THE SAME TIME.

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I WAS CLRED FOR A LOC BACK COURSE AT LUK. THE LOC BC BEING THE APCH IN USE. WITHOUT MY KNOWLEDGE; A JET WAS CLRED FOR THE ILS FRONT COURSE TO THE OPPOSITE RWY. THE JET RPTED THE MARKER AFTER I WAS INSIDE DEAFS; MY FINAL APCH FIX. IT WAS AT MINIMUMS FOR THE LOC BC APCH. AS I'M FLARING; I'M LOOKING AT THE LIGHTS OF THE ON-COMING JET. I KEPT MY SPD UP AFTER LNDG AND EXITED THE RWY ON TXWY D. I WAS ABOUT 40-60 FT ON TXWY D AS THE JET WENT BY IN HIS FINAL FLARE. MISSED APCH PROCS PUT BOTH ACFT HEAD ON AT ONE ANOTHER. THERE IS NO SAFETY FACTOR HERE. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: THE RPTR SAYS THAT THIS IS ONLY 1 OF SEVERAL APCH CTL AND TWR PROBS THAT HE HAS EXPERIENCED OR OBSERVED HERE RECENTLY. IN THIS CASE; HE WAS CLRED FOR THE BACK COURSE APCH TO THE ACTIVE RWY 3R AND THE LCL CORPORATE FOKKER 100 WAS CLRED FOR THE ILS TO RWY 21L AT THE SAME TIME. THE WX WAS MARGINAL FOR THE BACK COURSE AND HE WAS NOT KNOWLEDGEABLE ABOUT THE FOKKER UNTIL HE HEARD THE JET'S OM CALL AFTER HIS PA-31 HAD PASSED THE FINAL APCH FIX. THE RESPECTIVE GAR RTES ARE STRAIGHT AHEAD. AFTER THE RPTR BROKE OUT; AT MINIMUMS; HE SAW THE LIGHTS OF THE FOKKER ON ITS FINAL APCH. HE ATTEMPTED TO ASK TWR IF THE FOKKER WAS GOING AROUND; BUT MAY HAVE BEEN BLOCKED SO HE KEPT HIS SPD UP AFTER TOUCHDOWN AND TURNED OFF THE RWY BEFORE THE JET COULD HIT HIM. HE ESTIMATES THAT HE WAS ABOUT 60 FT OFF THE RWY WHEN THE FOKKER PASSED HIM IN THE FLARE. THE RPTR THEN DISCUSSED THE EVENT WITH THE LCL FLT STANDARDS DISTRICT OFFICE AND THEY CALLED CVG APCH. 1 OF THE APCH CTL SUPVRS RPTED THAT THE APCH CTLR THOUGHT THAT THE CORPORATE ACFT WAS THE CV 580 THAT THE LCL CORPORATION OWNED AND HE ASSUMED THAT THERE WOULD BE ENOUGH ROOM FOR SIMULTANEOUS APCHS AT CV 580 SPD.