ACR MLG OVERSHOT LOCALIZER ENROUTE TO SJC. PIC CLAIMS APCH CTLR DID NOT GIVE A VECTOR HEADING FOR INTERCEPT.

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I PLTED FLT ONT-SJC. FLT PLAN APPROVED BY CLRNC AT ONT. ONT POM 1 GMN AVE ROBIE SNS SNS 347 GILRO SJC. EXCEPT FOR MINOR HDG CHANGES FROM ATC FOR TFC SEP PRIOR TO AVE FLT PLAN WAS FLOWN. LAST DIRECTIONAL CLRNC AFTER HDG CHANGES WAS 'CLRED DIRECT SNS FLT PLAN.' I NEVER WAS GIVEN A HDG TO INTERCEPT THE 30L ILS AT SJC. APPROPRIATE DSCNTS WERE GIVEN BY ATC AS ACFT WAS FLOWN OUT THE SNS 347; AND AT GILRO THE ACFT WAS TURNED TOWARD SJC VOR. I BELIEVE ATC BELIEVED WE WERE GIVEN A HDG TO INTERCEPT ILS 30L AS IN THE TURN A VOICE SUDDENLY CLRED US THE INTERCEPT; WHICH WAS; OF COURSE; OVERSHOT. UPON QUESTIONING THIS I WAS TOLD TO CALL A PHONE NUMBER ON ARR. I BELIEVE WE WERE OVERLOOKED ON HDOF TO BAY APCH. SUPPLEMENTAL INFO FROM 86357: I WAS OFF CENTER FREQ FOR A FEW MINS TO PICK UP THE SJC ATIS. UPON MY RETURN WE WERE FLYING THE FLT PLAN SNS 347 DEG R. OAK CENTER; IN MY OPINION; HANDED US OFF LATE TO BAY APCH. I ASKED THE CAPT IF I COULD TUNE IN THE SJC 30L LOC 110.9 303 DEG INBND. HIS REPLY WAS 'STAY ON SJC VOR 'CAUSE I NEED THE DME.' BAY APCH CLRED US TO CROSS MUELL INTXN AT 5000' OR ABOVE AND CLRED FOR THE APCH 30L. WE WERE ALREADY PAST THE LOC. I ADVISED BAY APCH THAT WE WERE UNABLE TO POSITIVELY IDENT SJC 30L LOC. BAY APCH TOLD US TO TURN LEFT TO 250 DEGS AND DSND TO 5000'. IT WAS AT THIS TIME WHEN THE CAPT GAVE BAY APCH A PIECE OF HIS MIND. AFTER A FEW WORDS AND BICKERING BTWN THE CAPT AND THE CTLR WE WERE ASSIGNED 270 DEGS AND 3000' TO INTERCEPT THE 30L LOC. SOON WE BECAME VMC AND I RPTED THE ARPT IN SIGHT. ON THE LANDLINE; THE APCH CTLR TOLD THE CAPT THAT HE WAS GOING TO DO EVERYTHING IN HIS PWR FOR A VIOLATION. ONE SMALL MISUNDERSTANDING LED TO A MAJOR MISCOM AND BOTH THE CTLRS AND CERTAINLY THE CAPT WERE OUT OF LINE.