MERLIN IV PLT TOOK EVASIVE ACTION TO CONTINUE ACROSS THE ACTIVE RWY AFTER NOTICING A SINGLE ENG ACFT ON TKOF ROLL. MEANTIME; TWR CTLR REQUESTED THAT HE HOLD SHORT FOR THE ACFT ON TKOF. THE MERLIN PLT DID NOT RESPOND TO TWR CLRNC TO FOLLOW A CESSNA 400 TYPE ACROSS THE RWY ORIGINALLY SINCE THE TWR CTLR USED THE WRONG CALL SIGN.

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NASSAU GND CTL TOLD ME TO TAXI TO THE HOLDING POINT OF RWY 14 AT TXWY. THE CALL SIGN I WAS USING WAS 'XYZ.' THERE WAS A CESSNA 400 SERIES ACFT AHEAD OF ME. NASSAU CALLED XYZ TO FOLLOW THE CESSNA AND CROSS RWY 14. I DID NOT REPLY TO THIS AND THEN CALLED GND CTL ABOUT THE INACCURATE CALL SIGN. AFTER THE THIRD ATTEMPT; NASSAU GND CALLED BACK AND SAID 'XYZ IS CLRED TO CROSS RWY 14.' WHEN I WAS ON THE RWY DURING XING; NASSAU GND TOLD ME TO 'HOLD SHORT.' I TOLD GND I WAS ON THE RWY AND I DID NOT WANT TO STOP ON THE ACTIVE RWY. AT THE END OF RWY 14; I COULD SEE A SINGLE ENG ON THE WY. I COULD NOT TELL HE WAS ON HIS TKOF ROLL UNTIL I HAD CLRED RWY 14. HAD I STOPPED WHEN NASSAU TOLD ME TO; I WOULD HAVE BEEN ON THE RWY WITH THE SINGLE ENG DEPARTING OVER THE TOP OF ME. NASSAU CALLED ME BACK AND ASKED IF I HAD HEARD THE FIRST ATTEMPT WHEN THEY ASKED ME TO FOLLOW THE CESSNA AND CROSS RWY 14. I SAID YES; BUT IT WAS THE WRONG CALL SIGN; AND WAS GIVEN PERMISSION TO CROSS RWY 14 WITH THE CORRECT CALL SIGN XYZ.