MD83 FLC DEPARTING FLL RWY 9L INVOLVED IN A TCASII RA WHEN; APPARENTLY; PREVIOUSLY DEPARTING TFC OFF RWY 9R; TURNING NBOUND; CONFLICTS WITH THE MD80.

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WE WERE CLRED FOR TKOF ON RWY 9L; FLY RWY HDG. NORMAL TKOF; INITIAL CLB OF ABOUT 4000 FPM. AFTER POSITIVE VERIFICATION OF CLB; GEAR UP WAS COMMANDED. JUST AS I LOOKED INSIDE THE ACFT TO RETRACT THE GEAR; AT ABOUT 200-300 FT WE GOT AN RA 'MONITOR VERT SPD;' WITH ALL THE RED VISUAL INDICATIONS ON THE VISUAL TCASII INDICATOR. VISUALLY (ON TCASII) INDICATOR WE HAD A BLIP SUPERIMPOSED OVER OUR ACFT. ON THE RADIO WE HEARD 'BOY; THAT WAS CLOSE. TWR DID YOU NOT TELL US TO TURN NBOUND?' TWR CTLR TOLD US TO CONTACT MIA DEP ON FREQ 126.05. I ASKED WHAT HAPPENED BEFORE WE SWITCHED FREQS. SHE SAID ACFT BEHIND US TURNED BEHIND US TOO CLOSE. WE NEVER SAW ANYTHING VISUALLY FROM THE FLT DECK EXCEPT THE TCASII. ACFT ON RWY 9R (VFR; PROP) WAS CLRED FOR TKOF JUST BEFORE WE WERE CLRED FOR TKOF ON RWY 9L. HIS CLRNC FROM CLRNC DELIVERY WAS A L TURN NBOUND AFTER DEP (WE DID NOT HEAR HIS CLRNC; BUT HAVE HEARD CLRNC DELIVERY NUMEROUS TIMES CLR ACFT OFF THAT RWY FOR AN IMMEDIATE R TURN AFTER DEP). HE STARTED HIS TURN EARLY AND TURNED INTO US WITHOUT LOOKING WHERE HE WAS GOING; ASSUMING THE TWR WAS WATCHING. WE WERE ALL LIT UP WITH EVERY LIGHT ON INCLUDING STROBES AND LOGO LIGHTS; GND SVC LIGHTS; TAXI; LNDG; ICE LIGHTS; ETC. TWR CTLR WAS ALSO WORKING GND AND CLRNC DELIVERY FREQS. THE ACFT IN FRONT OF US; A COMMUTER; WHOM WE NORMALLY SEE USING RWY 9R; WAS CLRED FOR TKOF. IT WAS OBVIOUS FROM HEARING THE COM THAT THE CTLR THOUGHT HE WAS ON RWY 9R; NOT RWY 9L. IT SOUNDED LIKE SHE WAS DISTR (POSSIBLY) FROM COVERING ALL THE FREQS. POSSIBLE ASSOCIATED REASON(S): CTLRS SEEM TO GO OFF THE FREQS MORE AND MORE; WITH OTHER DUTIES. I HAVE BEEN FLYING UP AND DOWN THE EAST COAST FOR THE PAST 16 MONTHS; SAME RTE. WE ARE HEARING MISSED COMS MORE THAN I EVER REMEMBER IN THE PAST 15-20 YRS. CTLRS ARE NOT PICKING UP MISSED COMS OR INCORRECT READBACKS. THE NUMBER OF TIMES WE CHK IN ON FREQ AND RECEIVE NO RESPONSE IS MULTIPLYING ALMOST ON A WKLY BASIS; SEEMS TO BE MAGNIFIED AT ZDC. THERE ARE MORE ACFT ON THE FREQS; MORE INCIDENTS OF BLOCKED RADIO XMISSIONS DUE TO 2 MIKES BEING KEYED AT THE SAME TIME. CTLRS SHOULD BE REQUIRED TO VERIFY THE READBACKS; AS IN THE PAST; IT WAS A SYS OF CHKS AND BALS. IT WAS A GOOD SYS AND SHOULD BE REINSTATED UNTIL A REPLACEMENT SCHEME CAN BE WORKED OUT TO VERIFY CORRECT RECEIPT OF CLRNCS IN THE AIR.