CLOSE PROX 2 COMMUTER LTTS ON DSCNT FOR LNDG AT MIA.

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ON DOWNWIND VECTORS TO RWY 9L AT MIA AT 8000. ARPT IN SIGHT AND CLRED FOR VISUAL APCH BY MIA APCH CTL. ALSO INSTRUCTED TO 'KEEP IT TIGHT; TFC TO FOLLOW.' I NOTIFIED APCH THAT I NEEDED TO LOSE 8000 FT AND THEREFORE NEEDED SPACE. WE WERE THEN HANDED OVER TO MIA TWR; WHICH UPON INITIAL CONTACT; CLRED US TO LAND ON RWY 9L. AT APPROX 3000 FT ON BASE; TCASII RPTED 'TFC; TFC' (TA) 2 O'CLOCK FOLLOWED BY AN (RA) 'MONITOR VERT SPD.' NOW MIA TWR CALLED THE TFC AND ASKED IF WE HAD TFC IN SIGHT; WHICH WE DID NOT. BY NOW; TCASII WAS INSTRUCTING US TO 'CLB; CLB' FOLLOWED BY THE RA 'CLB NOW; CLB NOW' AND VERT SPD RA CALLED FOR 2500 FPM. TWR NOW INSTRUCTED US TO TURN R TO 250 DEG (WE WERE IN A L TURN TO FINAL HDG 120 DEG FOR RWY 9L) IN THE R TURN AT APPROX 230 DEG. WE WERE NOSE TO NOSE WITH AN LTT Y WHICH PASSED BELOW US. WE WERE IN ABOUT 15- 20 DEG NOSE UP ATTITUDE. ABOUT 10 SECONDS LATER WITH TCASII STILL ISSUING MULTIPLE RA'S WE PASSED AN LGT ON FINAL FOR 9R. AFTER A FEW VECTORS WE RETURNED AND MADE A NORMAL LNDG ON 9L IN MIA.