This is correct and to be supported. But the "separated tribes" do not exist, as per my previous post. This is the "myth" I speak of, veteran. In the plan of God, Israel will most assuredly rule on earth over the nations as promised, but not without Him.
If what you say on that were true, then the two sticks prophecy of Ezekiel 37 would have to be fulfilled already. It is not fulfilled yet.
Ezek 37:19-28
19 Say unto them, Thus saith the Lord GOD; Behold, I will take the stick of Joseph, which is in the hand of Ephraim, and the tribes of Israel his fellows, and will put them with him, even with the stick of Judah, and make them one stick, and they shall be one in Mine hand.
20 And the sticks whereon thou writest shall be in thine hand before their eyes.
21 And say unto them, Thus saith the Lord GOD; Behold, I will take the children of Israel from among the heathen, whither they be gone, and will gather them on every side, and bring them into their own land:
22 And I will make them one nation in the land upon the mountains of Israel; and one king shall be king to them all: and they shall be no more two nations, neither shall they be divided into two kingdoms any more at all:
That Scripture above is already enough to define that God split the 12 tribes into two separate nations and kingdoms. The detail of it is in 1 Kings 11 through 2 Kings 17. But when is this gathering to happen?
23 Neither shall they defile themselves any more with their idols, nor with their detestable things, nor with any of their transgressions: but I will save them out of all their dwellingplaces, wherein they have sinned, and will cleanse them: so shall they be My people, and I will be their God.
24 And David My servant shall be king over them; and they all shall have one shepherd: they shall also walk in My judgments, and observe My statutes, and do them.
25 And they shall dwell in the land that I have given unto Jacob My servant, wherein your fathers have dwelt; and they shall dwell therein, even they, and their children, and their children's children for ever: and My servant David shall be their prince for ever.
Those next verses define the WHEN of that prophecy. The great gathering of both houses is not until Christ's coming. That's what the great gathering to Christ is about, and it will include believing Gentiles with them. That has not happenned yet.
26 Moreover I will make a covenant of peace with them; it shall be an everlasting covenant with them: and I will place them, and multiply them, and will set My sanctuary in the midst of them for evermore.
27 My tabernacle also shall be with them: yea, I will be their God, and they shall be My people.
28 And the heathen shall know that I the LORD do sanctify Israel, when My sanctuary shall be in the midst of them for evermore.
(KJV)
Further in Ezekiel, there is mention of a temple, God's River of the waters of life, and Christ's priests reiging with Him, which is Milennium timing, which is future still. The location of that is given on earth in the holy land, even with the inheritances of the twelve tribes back to the original lands of promise God gave to their fathers. That's what this Ezekiel 37 two sticks prophecy is about. It is yet to occur. The house of Judah and the house of Israel are still apart today. Even Jewish rabbi well know per history that the ten tribes were separated from them long ago, and have become lost, but are prophesied to return under Messiah.