A B757-200 PLT RPTS THAT DURING LIH CTAF OPS AN ACR ACFT DISREGARDED THE RPTR'S POS AND HOLD STATUS AND BACK-TAXIED AT A HIGH RATE OF SPD FROM THE OPPOSITE END OF THE RWY; CUTTING THEM OFF.

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I WAS THE FO ON FLT XX DEPARTING LIH. WHILE TAXIING OUT TO RWY 3 FOR TKOF I HAD MADE THE APPROPRIATE CALLS ON THE ADVISORY FREQ (THE TWR WAS CLOSED) STATING THAT WE WERE TAXIING FROM THE GATE TO THE DEP END OF RWY 3. AS WE MADE THE R TURN ONTO TXWY A (AT TXWY K) I AGAIN MADE A CALL ON CTAF STATING THAT WE WERE #1 FOR DEP ON RWY 3. I THEN SWITCHED RADIOS TO ZHN TO LET THEM KNOW THAT WE WERE #1 FOR DEP OFF OF RWY 3 AT LIH. IMMEDIATELY UPON DOING SO; I HEARD ACR FLT XY AT THE OTHER END OF THE FIELD STATE ON CTAF (I WAS MONITORING BOTH FREQS FOR SITUATIONAL AWARENESS) THAT THEY WERE GOING TO BACK-TAXI ON RWY 3 FOR DEP. I IMMEDIATELY RESPONDED ON CTAF THAT OUR FLT XX WAS ALREADY AT THE END OF RWY 3 AND WAS #1 FOR DEP. THE CALL WENT UNHEEDED AND WE OBSERVED ACR FLT XY BACK-TAXI DOWN THE RWY AT A FAIRLY HIGH RATE OF SPD AND CUT US OFF AS #1 FOR DEP. AS A RESULT; SOME CONFUSION ENSUED WITH ZHN AS TO WHOM WAS ACTUALLY DEPARTING. ACR FLT XY CUT IN FRONT OF US AND ENTERED THE RWY ENVIRONMENT AT THE OPPOSITE END OF THE FIELD AFTER I HAD MADE THE CALL ON THE CTAF AND AFTER I HAD MADE THE CALL TO ZHN THAT WE WERE #1 FOR DEP. I CAN'T BE SURE THAT THIS WAS AN INTENTIONAL ACT BUT IT SURE SEEMED THAT WAY AND IT DEFINITELY CREATED AN UNSAFE CONDITION. I HAVE BEEN OPERATING OUT OF UNCTLED FIELDS FOR OVER 20 YRS AND HAVE NEVER ENCOUNTERED THIS 'AGGRESSIVENESS' FROM AN ACR BEFORE.