Kiev - FCO legs are with Ukraine International Airlines (also in J, supposedly decent for intra-Europe J on a 737).
Alitalia FCO-NYC legs are lie-flat, brand new cabins. Can be possible to have one of the long-haul legs be on Delta metal.
Complete the trip to/from TLV with an El Al UP flight, if you have Fly Card Premium free Y+ seating.
Or, abandon ship at Rome on the way back and catch a flight back to Israel from there.
