CARGO FLT AT OPF USING CTAF PROCS STARTS TO TAKE OFF ON RWY 09L; BUT CLEARS IMMEDIATELY WHEN TFC IS OBSERVED DEPARTING ON THE OPPOSITE END.

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WE BLOCKED OUT OF THE FBO AT XA00 AT THIS TIME OPA LOCKA'S TOWER WAS CLOSED; SO WE XMITTED ON THE CTAF FREQ 120.7 THAT WE WERE TAXIING FROM FBO FOR DEP ON RWY 12. WE HEARD NO REPLY. WE BEGAN OUR TAXI AND SAW OUR COMPANY ACFT TAKE OFF ON RWY 9L; SO WE DECIDED TO TAXI TO RWY 9L INSTEAD. WE HEARD OUR COMPANY'S RADIO CALLS AS THEY LEFT THE ARPT. WE DID OUR PERFORMANCE CHECKS HOLDING SHORT AT THE END OF RWY 9L. WE THEN CALLED OUT THAT WE WERE TAKING OFF RWY 9L ANY TFC. PLEASE ADVISE. THERE WAS NO REPLY. WE TOOK POS ON THE RWY AND FINISHED OUR TKOF CHECK. AS WE TOOK POS WE CLEARED FINAL AND DEP ENDS; BOTH SEEMED CLEAR. WE FINISHED OUR TKOF CHECK AND PREPARED TO DEPART; WHEN THE PLT FLYING SAW THE ANTI COLLISION LIGHTS OF AN ACFT APCHING US FROM THE OPPOSITE END. WE THEN TURNED TO GET OFF THE RWY AS WE SAW WHAT LOOKED LIKE A CHALLENGER JET TAKE OFF RWY 27R OVER US. WE CLEARED THE RWY; TURNED BACK AND I RADIOED ONCE MORE THAT WE WERE TAKING OFF RWY 9L ANY TFC PLEASE ADVISE. NO REPLY. WE THEN TOOK THE RWY AND DEP TO THE E. ANOTHER OF OUR COMPANY ACFT TAXIED OUT BEHIND US AND WE HEARD ALL OF THEIR RADIO CALLS CLEARLY. WE NEVER HEARD A SINGLE RADIO CALL FROM THE JET THAT DEP RWY 27R. OUR COMPANY BEHIND US; NEVER HEARD THEM CALL; BUT THEY HEARD ALL OUR CALLS CLEARLY. I CAN ONLY GUESS AS TO WHY THE JET TFC MADE NO CALL OUTS ON THE CTAF FREQ. THIS SIT COULD HAVE BEEN AVERTED IF THE JET HAD BEEN ON THE PROPER FREQ OR IF THE TOWER WAS OPEN 24 HOURS A DAY. UNFORTUNATELY THIS ALL HAPPENED LESS THAN FIFTEEN MINUTES BEFORE TOWER OPENED. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATED THAT BEFORE TAKING THE RWY; THEY CLEARED BOTH ENDS. LIGHTS WERE SEEN ON THE OPPOSITE END; BUT THE CREW BELIEVED THEY WERE STREET LIGHT SIGNALS. WHEN THE OTHER ACFT TURNED ON HIS LIGHT FOR TKOF; THEY IMMEDIATELY CLEARED THE RWY.