SMT X HAD NMAC WITH WDB Y. SEE AND AVOID CONCEPT. EVASIVE ACTION TAKEN.

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SMT X WAS BEING VECTORED FROM THE W FOR THE ILS APCH. INBOUND HAD BEEN PASSED TO TWR AND NO SEQUENCE WAS CALLED FOR ME TO FOLLOW. TWR HAD 2 HEAVIES IN THE TOUCH-AND-GO PATTERN WHO WERE EXTENDING DOWNWIND TO 32R (THE ILS RWY). SINCE TWR DIDN'T TELL ME TO FOLLOW ANY ACFT; IT IS UNDERSTOOD THAT THEY WILL FOLLOW ME. AS I TURNED THE ACFT ON A HDG TO INTERCEPT THE LOC; I OBSERVED ONE OF THE HEAVIES TURNING FINAL FROM THE E SIDE RIGHT FOR HIM. I QUICKLY CALLED TFC AND ASKED THE ACFT IF HE WAS GOING TO BE IN FRONT OF THE HVY. THE SMT X'S ALT WAS 3100 FT AND GND SPD 140 KTS. WDB Y'S ALT WAS 3000 FT AND GND SPD 160. AS I AM GETTING A REPLY; THE CAB SUPVR IS CALLING AND I TOLD HIM TWICE TO GET THE HVY JET OUT OF THERE. HE ASKED IF I COULD GIVE SMT X A 360 DEG TURN TO FOLLOW WDB Y. I SAID NO; I'M AHEAD OF HIM. I OBSERVED WDB Y; APCHING SMT X FROM THE E AND TAKING NO ACTION TO ALTER COURSE. SMT X CONFIRMED THAT AND ASKED FOR A TURN. I GAVE HIM A L TURN TO 270 DEGS; SINCE MY PRESENTATION SHOWED WDB Y APCHING FROM THE E. HE ARGUED WITH ME TWICE. THE TARGETS MERGED WITH 100 FT APART VERT. TWR WAS EXTENDING TFC INTO MY AIRSPACE AND MADE A BAD CALL TURNING WDB Y. THEY DIDN'T KEEP AN EYE ON HIM. TWR QUICKLY EXCHANGED TFC TO WDB Y AND TOLD HIM TO REMAIN E OF SMT X; BUT NEVER MADE ANY EFFORT TO GET WDB Y AWAY FROM MY TFC. TWR WAS TRAINING A DEVELOPMENTAL AND LET THE SITUATION GET OUT OF HAND; AND THEN TRIED TO TAKE CORRECTIVE ACTION. WE HAVE PROCS IN PLACE THAT TWR CAN RUN INTO APCH'S AIRSPACE AS LONG AS THE TFC HAS A FULL DATA BLOCK.