both of the kings ruled over the twelve tribes, NOT Israel, Israel got its independence in 1948 and became its own country.
if you do want to make an actual Israel civ i would recommend making David Ben - Gurion the leader with these abilities:
Drying Ahula:
Building a district on a marsh gives +2 (type of resource*) and +4 housing
*if you build an industrial zone you will get +2 production, if you build an entertainment district you will get +2 amenities, if you build a campus district you will get +2 science ect.
Defense of Israel:
Can use special casus belli: war of defense. can use if an adjacent civilization has more than 4 military units 2 hexes near the border, in a war of defense the player cannot take any cities from who they fight but if the player gets a unit into an enemy capital city the enemy has to surrender.
Iron Dome:
Israel unique information era unit that replaces the mobile SAM. mobile artillery and jet fighters may not attack anything in a 2 hex area, unit cannot attack

i don't know what special improvement Israel will have but there you go