Androrc the Orc
Emperor
The Israelite kingdom has little to nothing in common with the state of Israel currently. What you're suggesting is to put that plot of land in the game, and just incorporate all the people that so happened to live there. (Or I guess just incorporate the kingdom, ignore what happened for the next several thousand years, then pick up in 1948).
The latter is exactly my suggestion. Saying that there is "little to nothing" in common between the two is false: they have the same state religion, both have Hebrew as the official language, etc.
The modern state of Israel clearly in many ways continues the ancient kingdom; it was formed by the people from that kingdom who had a diaspora, after all, and kept having a distinct culture despite having migrated to other countries.