Meaning my itinerary will end up being an economy ticket?
Inbound will still be business. $1180 for half business seems like a decent proposal to me.
If you want comfort in both directions, book Y+ outbound, business inbound. It'll cost around $1280 (give or take) and the outbound will be TLV-Rome business, Rome-NYC Y+. This is a good Y+ product, look at the reviews and pictures.
Or book both directions Y+ for $780, the TLV-Rome/Rome-TLV legs will be business (for what European short-haul business is worth...).