CTLR SUPVR DISPUTE RESULTS IN OPDEV AT SCT.

Narrative

I WAS WORKING AR2 'STADIUM'; IFR WX E TFC. CI-1 CALLED WITH A POINTOUT ON AN SMO ARR JET. THIS IS NOT ALLOWED; AND THE POINTOUT WAS REFUSED. DR-2 CLRED THE ACFT FOR A VOR-A CIRCLING APCH TO SMO. THE RULES ARE IF THIS IS DONE; AR-2 IS TO STOP ALL RWY 6 ILS APCHS UNTIL THE SMO ARR IS ON THE GND. I HAD NOT STOPPED ARRS BECAUSE I HAD REFUSED THE APCH INTO SMO. IF I BECAME AWARE THAT THE SMO ARR WAS MAKING THE APCH; I NOTIFIED MR X; THE SUPVR ON DUTY; OF THE SIT AND THAT I WANTED THE SMO ARR PULLED OUT OR I WOULD PULL ALL MY ARRS OFF THE ILS RWY 6L APCH AND STOP ARRS FROM THE CTR. MR X WENT TO THE DEP AREA AND RETURNED IN 30 SECONDS TELLING ME THE SMO ARR WOULD CONTINUE AND THAT I WAS TO CONTINUE WITH MY ARRS. I KEYED UP THE BRIEFING LINE AND ADVISED MR X THAT I WAS PULLING MY ACFT OUT UNLESS HE ORDERED ME TO CONTINUE. HE YELLED AT ME; STATING 'JUST RUN YOUR XXXXX TFC.' THE SMO ACFT MISSED APCH. TO AVOID A SYS ERROR; MY HDOF HAD SMO TWR TURN THE ACFT TO A 300 DEG HDG IN VIOLATION OF MISSED APCH PROCS. THE SMO ARR PASSED 3 MI FROM MY ILS RWY 6L ACFT; SAME ALT; OPPOSITE DIRECTION.