CAPT OF MLG OVERSHOT FINAL APCH COURSE DURING DSCNT VECTOR DUE TO TCASII TA DISTRS.

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WE WERE ON APCH TO BURBANK ARPT MAINTAINING 3500 FT ON ASSIGNED HDG. ANYTIME YOU'RE ON APCH TO BURBANK; THE TCASII SYS BEGINS WITH TA ALERTS FROM VAN NUYS ARPT ABOUT 8 MI FROM BURBANK. APCH GAVE US A CLRNC TO MAINTAIN 3500 FT ON A HDG 100 DEGS TO INTERCEPT THE LOC CLRED FOR APCH. I WAS FLYING AND HEARD MAINTAIN 3500 FT ON HDG 100 DEGS AND THAT WAS WHEN THE TA ALERTS STARTED. 3 TA'S POPPED UP WITH SEPARATE WARNINGS ON EACH BUT CONTINUOUS. WHEN I LOCATED AND VERIFIED WE WERE NOT IN ANY DANGER; I NOTICED WE HAD FLOWN THROUGH THE LOC. I ASKED THE FO IF WE WERE CLR TO INTERCEPT THE LOC AND HE ACKNOWLEDGED WE WERE. I HAD HIM VERIFY WITH APCH THAT THAT WAS OUR CLRNC AS I WAS TURNING TO CORRECT AND INTERCEPT. I HAD THE VAN NUYS AND BURBANK ARPT IN SIGHT FROM 8 MI ON INTO THE ARPT. THE FO VERIFIED WITH APCH THAT WE WERE CLRED FOR THE INTERCEPT AND APCH. THE CTLR SAID YES WE WERE AND GAVE US A HDG OF 045 DEGS TO INTERCEPT AGAIN. THE TCASII CONTINUED TO GIVE ADDITIONAL TA'S. AS WE APCHED THE INTERCEPT; APCH HAD US CLB TO 4000 FT AND CANCELED OUR APCH CLRNC. HE THEN VECTORED US FOR ANOTHER APCH. AT NO TIME WERE WE EVER IN DANGER OF HITTING TERRAIN OR ANOTHER ACFT. TCASII ARE GREAT BUT ARE A NUISANCE AROUND SMALL GA ARPTS HANDLING SMALL PISTON AND LARGE JET ACFT. OUT OF 5000 FT WHERE NO INTERCEPT CONFLICTS ARE PRESENT TCASII SHOULD NOT GO OFF JUST BECAUSE ANOTHER ACFT IS WITHIN 2 MI AND 1000 FT BELOW OR ABOVE YOU.