The house of God is more than family because a household includes servants also but that may not be a major matter in this thread nevertheless it is an important matter to keep in mind because Israel and specifically Moses is referred to as a servant while Christ is the Son of God's household (Hebrews 3:1-6). And every Jew who is incorporated into Christ through God's grace and faith is a son (or daughter) of God just as the gentiles who exercise faith in Christ are. There was never a throwing out but there was a wicked heart of unbelief in Israel and it excluded them from entering God's rest after the Exodus and also after the Crucifixion of the Lord. It is not ancestry that brings one into Christ but God's grace and faith. Nothing else can.
Amos 9:11
Israel Will Be Made Like New Again
11 "The time will come when I will rebuild David's fallen tent. I will repair its broken places. I will rebuild what was destroyed. I will make it what it used to be. 12 Then my people will take control of those who are left alive in Edom. They will also possess all of the nations that belong to me," announces the Lord. He will do all of those things. 13 "A new day is coming," announces the Lord. "At that time those who plow the land will catch up with those who harvest the crops. Those who stomp on grapes will catch up with those who plant the vines. Fresh wine will drip from the mountains. It will flow down from all of the hills. 14 I will bring my people Israel back home. I will bless them with great success again. They will rebuild the destroyed cities and live in them. They will plant vineyards and drink the wine they produce. They will make gardens and eat their fruit.
15 I will plant Israel in their own land. They will never again be removed from the land I have given them," says the LORD your God.
This is more about the parable of the prodigal son. The home is the one the father built. What you say about Yeshua being the son, doesn't remove the servants obedient work for the Father. Israel may be the prodigal son, but home is not a foreign land that he never lived in. It is the same one Yeshua lived.