The Kingdom of God to be set up on the earth will be the ancient Kingdom of Israel restored.

But upon mount Zion shall be deliverance, and there shall be holiness; and the house of Jacob shall possess their possessions... And the captivity of this host of the children of Israel shall possess that of the Canaanites, even unto Zarephath; and the captivity of Jerusalem, which is in Sepharad, shall possess the cities of the south. And saviours shall come up on mount Zion to judge the mount of Esau; and the kingdom shall be the LORD's. (Obadiah 17, 20-21).

In that day, saith the LORD, will I assemble her that halteth, and I will gather her that is driven out, and her that I have afflicted; And I will make her that halted a remnant, and her that was cast far off a strong nation: and the LORD shall reign over them in mount Zion from henceforth, even for ever. And thou, O tower of the flock, the strong hold of the daughter of Zion, unto thee shall it come, even the first dominion; the kingdom shall come to the daughter of Jerusalem. (Micah 4:6-8).