DOUBLE GND CONFLICT EXPERIENCED BY AN EMJ FLT CREW WHEN UNABLE TO CLR RWY 18R WITH TFC ON SHORT FINAL AND ANOTHER ACFT BLOCKING THE TXWY TO RAMP AT CVG.

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LANDED ON RWY 18R AT CVG. WE WERE GOING TO BE ABLE TO EXIT AT D7. TWR MAY HAVE THOUGHT OTHERWISE AND SAID TO EXIT AT TXWY J. AS THE CAPT BEGAN TO MAKE THE TURN AT D7; I STATED THAT TWR WANTED US TO EXIT AT TXWY J. WE EASED OFF THE TURN AND PROCEEDED DOWN THE RWY TO TXWY J. TWR THEN CALLED AND SAID TO EXPEDITE TO TXWY J; TFC ON FINAL; TAXI N ON TXWY D TO 8S; CONTACT ACR RAMP. AS WE EXITED ONTO TXWY J; WE COULD NOT MAKE THE L TURN ONTO TXWY D SINCE WE WOULD HAVE BEEN HEAD-TO-HEAD WITH A TWIN PIPER FACING S ON TXWY D SHORT OF TXWY J. THE CAPT STOPPED THE AIRPLANE ON THE RWY SIDE OF THE HOLD SHORT LINE FACING E. AS I LOOKED L; I SAW AN AIRPLANE ON FINAL; ABOUT TO CROSS THE THRESHOLD; AND I STATED WE NEEDED TO CLR THE RWY. TO CLR THE RWY WOULD PUT OUR AIRPLANE IN THE INTXN OF TXWY J AND TXWY D IN FRONT OF THE PIPER. THE CAPT CONTINUED TO HOLD ON THE RWY SIDE OF THE HOLD SHORT LINES AS I TRIED TO CONTACT GND. IT TOOK 2 TRIES TO GET GND TO RESPOND. GND TOLD US TO TAXI STRAIGHT AHEAD ON TXWY J AND CALL ACR RAMP AT SPOT XX. I DO NOT KNOW IF THE AIRPLANE ON SHORT FINAL LANDED OR WENT AROUND NOR IF THE TWR WAS AWARE OF THE PIPER ON TXWY D.