You do realize that's high time for succos and very unlikely to find good availability.
There is obviously nothing available direct. From JFK, seems like your only option is the 10th JFK-LHR-FRA-TLV.
Out of Newark you can go the 10th in 1st JFK-FRA-TLV with a long stopover (available on the 9th in economy.
Return looks about the same.
Good luck-search on continental.com and aeroplan.com.
Divide your itinerary to search for stopover flights