RV6 WAS INVOLVED IN A NMAC WHILE ON FINAL APCH. THE CONFLICTING ACFT WAS NOT IN RADIO CONTACT WITH TWR.

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INBOUND TO RWY 24 AND ON EXTENDED CTRLINE 4 MI OUT. HEARD LCL CTL MAKING BLIND CALLS FOR A KING AIR. THEN LCL ASKED ME FOR AN UPDATED POS. GAVE POS RPT AND ADVISED LCL THAT THERE WAS A TFC INFO SYS WARNING FOR TFC AT MY 6 O'CLOCK POS 500 FT ABOVE AND DSNDING; LESS THAN 1 MI BEHIND ME. THE KING AIR OVERFLEW ME AT LESS THAN 400 FT VERT SEPARATION. CTLR HAS NO RADAR IN THE TWR! AND THE KING AIR WAS NOT TALKING TO THE TWR EVEN THOUGH HE WAS IN THE CLASS D. WHEN LCL CTL SAW THE KING AIR; HE GAVE ME A R 360 DEG TURN. THE KING AIR CONTACTED THE TWR AND SUBSEQUENTLY DID A GAR. I TALKED TO THE LCL CTLR LATER IN THE DAY AND FOUND THAT THIS WAS ANOTHER CASE OF NEW YORK TRACON MAKING A LATE HDOF TO THE TWR. THE KING AIR PLT LATER TOLD THE LCL CTLR THAT HE HAD ME IN SIGHT! THIS ARPT IS PLAGUED BY LATE HDOFS FROM NEW YORK TRACON. ADD TO THAT; THERE IS NO RADAR IN THE BDR TWR. THE FIX IS THAT SOMEBODY HAS TO HOLD NEW YORK TRACON ACCOUNTABLE TO THEIR LOA ON HDOFS. AND; A RADAR SCREEN IS LONG OVERDUE! NEED I SAY MORE?