B767 FLT CREW IS VECTORED BY TWO SUCCESSIVE CTLRS FOR ILS RWY 4R AT JFK. AS THEY ARE INTERCEPTING THE ILS THE CTLR INFORMS THE FLT CREW THEY WERE CLRED TO INTERCEPT RWY 4L ILS AND TURN L TO INTERCEPT.

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I WAS THE PF; CAPT WAS THE PNF. ON INITIAL CONTACT WITH NY APCH CTL WHILE FLYING THE CAMRN 4 ARR WERE GIVEN EXPECT ILS RWY 4R. ILS RWY 4R AT JFK WAS BRIEFED; THE FLT INSTRUMENTS AND BUGS WERE SET FOR LNDG RWY 4R. WE WERE HANDED OFF TO THE NEXT CTLR WHO INSTRUCTED US TO FLY HEADING 340 DEGS FOR RV TO ILS RWY 4R. CAPT CONTINUED WITH THE 'BEFORE LNDG CHKLIST.' WE WERE THEN INSTRUCTED TO FLY HEADING 010 DEGS OF INTERCEPT RWY 4R LOC; ASKED THAT WE KEPT OUR SPEED UP AND WOULD HAVE SPEED REDUCTIONS IN A FEW MILES. INTERCEPTED COURSE AND WAS GIVEN A SPEED REDUCTION I BELIEVE IT WAS 180 KTS SHORTLY THEREAFTER. APPROX 30-60 SECONDS AFTER SPEED REDUCTION APCH CTL ASKED IF WE WERE INTERCEPTING RWY 4L. CAPT RESPONDED 'NO; WE WERE INSTRUCTED TO INTERCEPT RWY 4R.' CTLR 'ACR X JUST TURN L AND INTERCEPT RWY 4L FREQUENCY IS 110.9 MAINTAIN...YOU ARE CLRED ILS RWY 4L.' MADE A L TURN TO INTERCEPT WHILE CAPT SET-UP THE ACFT FOR RWY 4L...INTERCEPTED THE LOC/GS INSIDE 10 MILES INSTRUCTED TO CONTACT KENNEDY TWR 123.9...RECEIVED CLRNC TO LAND AND LANDED WITHOUT FURTHER INCIDENT.