MD11 FLT CREW ON GAR AT LAX EXPRESSED CONCERN REGARDING VECTORS AND VFR TFC.

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WE MADE THE VISUAL APCH TO RWY 25L AT LAX; BACKED UP BY THE ILS. THE FO WAS FLYING. AT 1000 FT AGL; THE APCH WAS NOT STABLE CORRECTLY; SO WE INITIATED A GAR. THE TWR CTLR HAD US LEVEL AT 2000 FT AND TURN TO A 220 DEG HDG. THEN WE CHANGED TO APCH CTL. WE WERE GIVEN A 190 DEG HDG; FOLLOWED BY A TURN TO 020 DEGS AND A CLB TO 3000 FT; WHICH TOOK US UP INTO THE VFR CORRIDOR. THEN WE WERE TURNED TO A 350 DEG HDG AND TOLD TO CLB TO 4000 FT. DURING THIS TIME; THE CTLR CALLED OUT NUMEROUS TFC ALERTS. ONE WAS A SINGLE ENG CESSNA AT ABOUT OUR 2 O'CLOCK POS; CONVERGING ON US AS WE CLBED THROUGH HIS ALT. I WAS JUST READY TO ORDER A DSCNT WHEN THE CESSNA SPOTTED US AND TURNED SHARPLY L TO PASS BEHIND US. AS HE WENT BEHIND; THE TCASII ISSUED AN RA; QUICKLY FOLLOWED BY AN ALL CLR CALL. THEN THE CTLR CALLED ANOTHER ALERT FOR A PLANE AT OUR 11 O'CLOCK POS; AND AT 3500 FT; WHICH WAS JUST ABOUT OUR ALT ALSO. WE SAW WHAT LOOKED LIKE A MOONEY PASS QUICKLY ON OUR L FROM FRONT TO BACK; PROBABLY NOT MORE THAN 1000 FT AWAY; AND AT OUR ALT. AFTER IT PASSED; THE TCASII ISSUED ANOTHER RA; AGAIN QUICKLY FOLLOWED BY AN ALL CLR CALL. WE EXCEEDED OUR ASSIGNED 4000 FT BY ABOUT 200 FT AND THEN QUICKLY RETURNED TO IT. FURTHER VECTORING TOOK US OVER THE TOP OF THE ARPT TO THE N; THEN E JUST PAST THE END OF THE RWYS; THEN S ACROSS THE FINAL APCHS; E AGAIN ON DOWNWIND; A BASE LEG; AND FINALLY WE COMPLETED A VISUAL APCH TO RWY 25L. WAS IT REALLY NECESSARY TO CLB US INTO THE VFR CORRIDOR? WE EXPECTED AND WANTED A SIMPLE TURN BACK TO A L DOWNWIND TO RWY 25L.