Hello Wardy, As you know my wife was Jewish and I am Catholic, so even in this country there are plenty of non observant Jewish ladies you can approach, but since they won't let me into the states i really couldn't comment on New york, although i'd imagine it to be the same.
Point of interest though was that my wife did leave me for a Jewish American guy, and she did cite that they were from the same 'culture' ( their living together lasted about 7 months). However, she's now 'involved' with a singer in a German heavy metal band who looks as though he's straight out of an SS Division, so I'd say you're in with a chance my old friend, as clearly Jewish women are no different to anyone else!