B737-300 ACFT ON ARR STAR RECEIVED TFC ALERT FROM APCH CTLR AT THE SAME TIME TCASII RA. FLC FOLLOWED RA WITH HARD PULL UP RESULTING IN FLT ATTENDANT INJURY. INTRUDER TFC HAD NO ALT READOUT SO CTLR HAD NO ALT INFO; NOR IN RADIO CONTACT WITH INTRUDER.

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AFTER XING WHIGG INTXN AS DEPICTED ON THE 10-3 ARR CHART; ATC CLRED US TO DSND TO 10000 FT. SHORTLY AFTERWARD ATC ISSUED A TFC CALL: 'TFC 12 O'CLOCK; 3 MI; 9500 FT CLBING. CLB AS REQUIRED.' SIMULTANEOUSLY; TCASII ALERTED ON THE TARGET. TCASII CONFIRMED ATC TFC RPT -- A VIRTUAL HEAD ON CONFLICT EXISTED WITH RAPID RATE OF CLOSURE. PF BEGAN AN IMMEDIATE ARREST OF THE DSCNT RATE AND INITIATED A CLB. THE LAST TIME I GLANCED AT THE TCASII READOUT; THERE WAS ONLY 300 FT OF VERT SEPARATION. AS I LOOKED UP; THE ACFT CAME INTO VIEW. (A TWIN ENGINED GA ACFT -- POSSIBLY A KING AIR.) A FURTHER 'PULL' WAS THE ONLY THING THAT KEPT THE 2 ACFT FROM 'TRADING PAINT.' OBVIOUSLY; SEPARATION HAD LAPSED TO LESS THAN THAT DICTATED BY SAFETY AND PRUDENCE. THOUGH NO PAX INJURIES RESULTED; THE #2 FLT ATTENDANT SUSTAINED BROKEN ANKLES AND SHOULDER. SUGGESTION: ALL ACFT CAPABLE OF 250 KT CRUISE SHOULD BE REQUIRED TO FILE AND OPERATE UNDER IFR. NO VFR FOR TURBOPROPS OR TURBOJETS. NONE! FAR PART 135 OPERATORS WHO ALLOW THEIR PLTS TO CANCEL IFR IN ORDER TO GO 'VFR DIRECT' SHOULD BE CITED FOR 'CARELESS AND RECKLESS' OPS.