TRACON APCH CTLR VECTORED B727 TO RWY 9R R BASE FINAL APCH COURSE FOR VISUAL APCH WITH SAAB ON L BASE RWY 9L; CLRING THE B727 FOR VISUAL APCH WITHOUT ENSURING TFC AND ARPT IN SIGHT. BOTH ACR PLTS APPARENTLY TOOK INITIATIVE TO TURN THEIR OWN FINAL AND CONDUCT APCH.

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ATC FACILITY: MIA APCH CTL. LOCATION: 6 NM RWY 9R. DURING VECTORING FOR A VISUAL APCH TO RWY 9R MIA; A POSSIBLE LOSS OF SEPARATION OCCURRED BTWN MY FLT ON A 030 DEG RADAR VECTOR AND AN ACR Y SAAB ON A SW HDG. MY CLRNC WAS FLY A 030 DEG HDG; DSND TO 1500 FT AND RPT THE ARPT IN SIGHT. THE CTLR WAS EXTREMELY BUSY. I HAD ALREADY BRIEFED THE CREW TO VISUALLY ACQUIRE AND CALL TFC BECAUSE I WAS NOT CONFIDENT ABOUT THE CTLR'S AWARENESS OF EVERYBODY IN THE PATTERN SEQUENCE. I HAD PREVIOUSLY BEEN VECTORED FOR THE RWY 9R LOC INTERCEPT; AND THEN CLRED FOR THE RWY 9R ILS APCH -- ONLY TO BE SUBSEQUENTLY VECTORED OFF THE INTERCEPT AND RECLRED THE 030 DEG HDG; FOR A 'RPT THE ARPT IN SIGHT.' WHILE I THINK THE CTLR WAS HOPING FOR AN EARLY ARPT CALL TO CLR ME FOR THE VISUAL; THERE WERE CUMULUS CLOUDS AT 2000 FT TO 2500 FT AFFECTING MY ABILITY TO OPERATE CLR OF CLOUDS AND TO ACCEPT A VISUAL APCH. APPARENTLY THE SAAB CAPT HAD A SIMILAR CLRNC ALONG THE N SIDE ARR. BECAUSE OF CONTINUOUS FREQ CONGESTION; I WAS UNABLE TO RPT THE CLOUDS AND REQUEST THE ILS OR RPT THE ARPT. NONETHELESS; PASSING 2000 FT I USED TCASII AND VISUALLY ACQUIRED THE OPPOSING DIRECTION SAAB ABOUT 200 FT ABOVE MY ALT AND DISTANCE CLOSING. I TURNED R TO JOIN THE FINAL AND CONTINUED DSNDING TO 1500 FT. THE SAAB; STILL ABOVE ME; BUT VERY CLOSE HORIZLY; COINCIDENTALLY ROLLED SHARPLY L TO RWY 9L. DURING THESE MANEUVERS THE CTLR ASKED IF I HAD THE ARPT IN SIGHT; AND CLRED ME FOR A VISUAL APCH TO RWY 9R.