Again, to some degree my answer would depend upon how you define Israel but generally speaking,
regarding the earthly Israel, real ( but also that God has already satisfied all of His promises to them - see below); to spiritual Israel (being all those elected/saved), some realized, some not yet.
[1Ki 8:56 KJV]
56 Blessed [be] the LORD, that hath given rest unto his people Israel, according to all that he promised: there hath not failed one word of all his good promise, which he promised by the hand of Moses his servant.
[Jos 23:14 KJV]
14 And, behold, this day I [am] going the way of all the earth: and ye know in all your hearts and in all your souls, that not one thing hath failed of all the good things which the LORD your God spake concerning you; all are come to pass unto you, [and] not one thing hath failed thereof.
Well there is so much one could discuss here, it is hard to determine a starting point.
If you consider yourself an A-Millennialist or something similar, this places us on diametrically opposed ends of the Eschatological spectrum. I believe the Scriptures teach, a Pre-Tribulation Rapture and a physical establishment of the Kingdom of Israel.
You gave me a few verses but what I want you to see in them, is this. 1 Ki. 8:56 and Jos. 23:14 - cannot represent the fulfilment of God's promises to Israel because the things mentioned therein, have not been permanently fulfilled. In 1 Kings, the "rest" mentioned here is not a permanent "rest" - Israel today is not at peace nor can she rest. The "rest" Israel is looking for, she has not yet found.
Now let's look at some verses that are related to the "restoration" of the Nation of Israel:
In Isaiah, the whole of chapter 60, is a picture of Israel's restoration. In verses 2-20, we have the fallen state of the Nation. It has become like Sodom and Gomorrah. Jehovah pays no attention to their sacrifices or their prayers. However, within this dark image of Israel (Judah), there are promises to them. There is a remnant - V.9 - and if it were not for this remnant, the whole of the nation would be lost. Hope is given in V.18 - the promise to turn their scarlet, blood covered, robes - into that of white.
In Vs. 21-23 - we have the state of the Holy City, Jerusalem.
In Vs. 24-31 - the completed restoration of Israel and Jerusalem.
How the Lord is going to accomplish this, is spelled out in Ezekiel chapter 37. The key verses are 11-14:
Eze 37:11 Then he said unto me, Son of man, these bones are the whole house of Israel: behold, they say, Our bones are dried up, and our hope is lost; we are clean cut off.
This the present state of Israel. They are dried bones. Nothing but corpses before the Lord. Their hope seemingly cut off according to those who say these things.
Eze 37:12 Therefore prophesy, and say unto them, Thus says the Lord Jehovah: Behold, I will open your graves, and cause you to come up out of your graves, O my people; and I will bring you into the land of Israel.
He will gather them into the promised land - Israel. This reminds us of: Blessed is he that has part in the first resurrection.
Eze 37:13 And ye shall know that I am Jehovah, when I have opened your graves, and caused you to come up out of your graves, O my people.
The power of Jehovah demonstrated.
Eze 37:14 And I will put my Spirit in you, and ye shall live, and I will place you in your own land: and ye shall know that I, Jehovah, have spoken it and performed it, says Jehovah.
In the same manner that He has done for those who make up the Church. They will possess the Indwelling Spirit. Jehovah will place them in their own land. This cannot be equated to the Church because the promise to the Church is not Land. Our inheritance is in Jesus Christ - not in land. This is foreshadowed in the promise given to the Levites:
Num_1:49 Only the tribe of Levi thou shall not number, neither shalt thou take the sum of them among the children of Israel; And:
Num_3:12 And I, behold, I have taken the Levites from among the children of Israel instead of all the first-born that opens the womb among the children of Israel; and the Levites shall be mine: One cannot say that only the Levites belonged to the Lord. Just as one cannot say only the Church belongs to the Lord. He has elected individuals in both, the Levites and the tribes of Israel. So too, He has elected individuals in the Church and Israel.
In these verses, we have the restoration promise to Israel also:
Joel 3:1 For, behold, in those days, and in that time, when I shall bring back the captivity of Judah and Jerusalem,
Joel 3:2 I will gather all nations, and will bring them down into the valley of Jehoshaphat; and I will execute judgment upon them there for my people and for my heritage Israel, whom they have scattered among the nations: and they have parted my land,
This gathering of ALL nations and judgement upon them is prophetical, it has never taken place in history. It does however, harmonize with the battle of Armageddon. The lost Sheep of Israel, are the ones who have been scattered abroad into all nations. This again does not fit the Church.
Then we have to take into consideration what the Prophet Daniel said in chapter 9 - verses 24-27. This Prophecy is to national Israel. The Church is not even in view here:
Dan 9:24 Seventy weeks are decreed upon thy people and upon thy holy city, to finish transgression, and to make an end of sins, and to make reconciliation for iniquity, and to bring in everlasting righteousness, and to seal up vision and prophecy, and to anoint the most holy.
This verse, gives us the whole of the Lord's work towards national Israel. All of these things mentioned here, find there fulfillment after the times of the Great Tribulation and the restoration of the Kingdom.
Dan 9:25 Know therefore and discern, that from the going forth of the commandment to restore and to build Jerusalem unto the anointed one, the prince, shall be seven weeks, and threescore and two weeks: it shall be built again, with street and moat, even in troublous times.
The time period here, goes from the moment the order goes out to rebuild the Temple until the arrival of Jesus Christ, in His first advent.
Dan 9:26 And after the threescore and two weeks shall the anointed one be cut off, and shall have nothing: and the people of the prince that shall come shall destroy the city and the sanctuary; and the end thereof shall be with a flood, and even unto the end shall be war; desolations are determined.
Jesus Christ, the anointed one of God, is cutoff. Israel has rejected the Messiah and puts Him to death. The ramifications of this, is God setting aside of Israel for their Sin. Cutting off their useless sacrifices and worship around 70 AD. when God has Titus and his army destroy the Temple and the sack Jerusalem. Israel loses it's homeland and is scattered into the nations.
Dan 9:27 And he shall make a firm covenant with many for one week: and in the midst of the week he shall cause the sacrifice and the oblation to cease; and upon the wing of abominations shall come one that makes desolate; and even unto the full end, and that determined, shall wrath be poured out upon the desolate.
This verse deals with the time of the Great tribulation. Remember, nothing was said about a "time gap" between V.26 and V.27 - Christ would be building His Church. Let's break this verse down slowly:
Highlighted in green - A peace treaty, involving many nations will be signed by Israel. They will rejoice, saying peace, peace when there is no peace. At no time would it be said, that the Church makes or participates in a covenant for seven years.
Highlighted in blue - Three and a half years into this fake peace, the Anti-Christ will manifest himself. He will cause the sacrifices and worship in the new Temple, which has been built, to cease. He will set himself up in the Temple as a god. He will make the Holy City desolate and useless.
Highlighted in purple - During this desolation, God will begin pouring out wrath upon the world, even unto the end of the Tribulation time.
Please read Zechariah chapter 12 also.
Again, the Church is not Israel and Israel is not the Church. I will stop here. Enjoy your day.