B737-200 CREW HAD TRACK DEV IN ZNY CLASS A AND CLASS E AIRSPACES.

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WITH FO FLYING; WE WERE IN DEEP DISCUSSION ABOUT PREVIOUS LEG'S SCREW-UP. WE WERE DSNDING ON J174 SBOUND TO CROSS ZIZZI INTXN AT 16000 FT. WE HAD 100-110 KT XWIND AND THE FO JUST LET IT BLOW HIM E OF COURSE AS HE JUST COULDN'T BELIEVE HOW MUCH CORRECTION IT WAS TAKING FOR THE STRONG WINDS. NOT WANTING TO OVER CORRECT; HE JUST KEPT GETTING FURTHER OFF CTRLINE. MY RADIAL/RADIO WAS SET FOR THE TURN AT ZIZZI INTXN DOWN THE ATR 085 DEG RADIAL TO ATR SO I DIDN'T NOTICE HOW MUCH HE WAS DRIFTING. THAT; COMBINED WITH THE PARALLAX ANGLE FROM MY SEAT TO HIS HSI AND A DARK COCKPIT; DIDN'T HELP. ATC INQUIRED IF WE WERE CTRED AND I TOLD HIM WE WERE CORRECTING IMMEDIATELY. THIS OLD; OLD B737 HAS NO FMC -- IT SHOULD BE MANDATORY IN MODERN AIRLINERS. IN THE FUTURE; WE WILL PUT DISTRS ASIDE TILL ON THE GND; BUT WE WERE STILL SHOOK UP ABOUT PREVIOUS ERROR ON PREVIOUS LEG. IN REGARDS TO THE LIMITED NAV CAPACITY; I WILL CERTAINLY TIGHTEN UP MY DEFINITION OF 'CTRED ON THE AIRWAY' AND STOP TRYING TO BE MR NICE GUY IN THE COCKPIT THINKING THE FO WILL GET IT BACK OK.