B737-500 GETS TCASII RA ON APCH; MAKES GAR TO AVOID COMMUTER 400 FT BELOW.

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FLT WAS ON DOWNWIND LEG; AT 5000 FT; BEING VECTORED FOR ANOTHER APCH. AFTER HAVING PERFORMED A GAR DUE TO ANOTHER ACFT PASSING UNDER US ON FINAL APCH AND TRIGGERING A RA. AS PF; I NOTED AN INTRUDER ACFT; AT 1200 FT; CLBING THROUGH 4000 FT. ATTEMPTED TO QUERY SOCAL WITHOUT SUCCESS. THEY FINALLY CALLED OUT TFC AT 12 O'CLOCK AND STATED IT WAS LEVEL AT 4500 FT. HSI TCASII DISPLAY DID NOT AGREE; SHOWED TFC CONTINUED TO CLB SLOWLY. AT APPROX 1 MI; GOT A TA; STILL NO VISUAL CONTACT. TA CHANGED TO A RA; CLB; CLB. TCASII DISPLAY SHOWED INTRUDER NOW AT 4700 FT AND STILL CLBING. AS WE EXECUTED RA ESCAPE MANEUVER; GOT A QUICK LOOK AT TWIN ENG TURBOPROP ACFT; COMMUTER TYPE; PASSING DIRECTLY UNDER US. HSI RADIO ALT FLASHED 400 FT AS IT WENT UNDER US. WE CLBED TO 6000 FT; AND THEN CAME BACK AROUND FOR ANOTHER APCH. WE ATTEMPTED TO FIND OUT FROM SOCAL WHO THE OTHER TFC WAS AND TO RPT A NEAR MISS. SOCAL REFUSED TO ANSWER ANY OF OUR CALLS CONCERNING THIS. THE ENTIRE EPISODE; IE; 2 RA'S WITHIN 10 MINS WAS OCCASIONED BY EXTREMELY POOR TFC CTL. THEY WERE TRYING TO 'SLAM DUNK' NUMEROUS COMMUTER TURBOPROP FLTS IN AND AROUND NUMEROUS JET AND HVY JET TRANSPORTS. WE REALIZE THEY ARE OVERLOADED WITH TFC; BUT THE LAX AREA CTLRS' ATTITUDE IS; GENERALLY SPEAKING; VERY POOR. NEITHER THEIR ABILITY NOR ATTITUDE CAN COMPARE TO ORD APCH WHICH HANDLES MUCH MORE TFC; IN WORSE WX; MUCH BETTER THAN SOCAL DOES. SOCAL HAS NO CONCEPTION OF WHAT CONSTITUTES A STABILIZED APCH; REQUIRED BY FARS AND COMPANY REGS. THEY SUBSEQUENTLY ORDERED US TO 'SPD UP AND FLY ALONGSIDE THAT B767.' OUTRAGEOUS! I AM EXTREMELY CONCERNED THAT THE HUGE INCREASE IN AIR TFC INTO LAX; COUPLED WITH CTLRS' POOR ABILITIES AND ATTITUDES IS GOING TO RESULT IN ANOTHER CATASTROPHE LIKE THE CRASH THERE AT LAX.