ACR X TCASII TA RA HAD NMAC WITH VFR SMA. SEE AND AVOID CONCEPT.

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ACR X FLYING AT 5000 FT; NE OF THE YARDLEY VORTAC ON A VECTOR FOR NEWARK ARPT. OUR HDG WAS NORTHERLY (010 DEG I BELIEVE). THE WX WAS VFR WITH 15 MI VISIBILITY. THE FIRST INDICATION OF ANY POTENTIAL CONFLICT WAS A TCASII TA AT 10 O'CLOCK AND I BELIEVE 500 FT ABOVE US. I ACQUIRED THE LIGHT ACFT AROUND 3 MI AND PLUS 400 FT ON THE TCASII ON A CONVERGING HDG. NY APCH CALLED OUT MOONEY TFC TO US. THE TARGET DID NOT MANEUVER OTHER THAN TO CONTINUE A SLOW DSCNT TOWARDS US. AT 1 NM AND PLUS 200 FT I BEGAN TO CLB TO GO OVER THE DSNDING ACFT. JUST AS I DID THIS WE GOT AN RA TO DSND; BUT I CONTINUED THE CLB I HAD ALREADY INITIATED. TCASII LATER COMMANDED A CLB ONCE THE GEOMETRY HAD CHANGED. NY APCH DIRECTED A R TURN TO 050 DEGS; BUT I COULD NOT GO BELLY UP TO A CLOSE-IN THREAT AND SO I CLBED UNTIL THE ACFT PASSED UNDER AND BEHIND US. WE CLBED TO APPROX 5500 FT. THE MOONEY CONTINUED UNAFFECTED IN A SLOW DSCNT PASSING ABOUT 100 FT BELOW US AS WE CLBED AND SEVERAL HUNDRED FT BEHIND US. ONCE CLR WE BEGAN OUR TURN AND RETURNED TO 5000 FT. I BELIEVE WITHOUT THE TCASII AND OUR SIGHTING OF THE TARGET; NY APCHS TURN WOULD HAVE BEEN TOO LATE TO PREVENT A MIDAIR. MY CAPT INITIALLY SAW ANOTHER ACFT AND WAS LATE TO ACQUIRE THE THREAT; AND THUS I AM NOT SURE WHETHER WE CALLED THE TFC IN SIGHT. MY AIR FORCE HABITS HAD DICTATED 'NOSE HIGH GOES HIGH' WHICH WAS SHY I CLBED TO OPEN THE SPACING QUICKEST. ANOTHER CASE OF SEE AND AVOID -- I'M NOT SURE THE OTHER GUY EVER SAW US.