Adam sinned and broke fellowship with God for himself and all of us who were born with the Sin Nature that resulted from Adam's fall from Grace.   

Abraham was called to become the father of a seed by which mankind would be reconciled to God.   

Jacob valued that birthright passed down from Abraham to Isaac to himself.   As we know, Jacob wrangled with his brother Esau and actually deceived his father Isaac to get that birthright.   

Jacob was 'one who struggled with God' and that is what Israel means.   

Israel became name of the nation of people born of Jacob.   But not all of them 'struggled with God' and during periods they actually struggled against God - the people who lived as Children Of Israel.   

God's favor upon the nation of Israel was primarily to protect the birthright and secondarily to honor his promise to Abraham (sands of the sea, start of heaven).   

The calling of Abraham, the protection of Jacob, and the history of the Children Of Israel served to bring humanity a Saviour and King who would effect the job of reconciliation.   

That is the purpose of DNA Israel.   They were chosen for that purpose.   They fulfilled that purpose and Christ Jesus was born and fulfilled all the prophecies about Him.   

Israel rejected Christ Jesus.   

Israel was rejected by Christ Jesus

The 'church' replaced DNA Israel.   The church is the spiritual body of Christ Jesus composed of all those who receive Him as Mighty God, Savior, Lord and King by absorbing His Word and being filled with His Holy Spirit.   

The church has the spiritual DNA of Christ Jesus while Jews are left with the physical DNA of Abraham ( Judah).   
The church is spiritual Israel.   

Is God finished with physical Israel?   Yes, based on their physical DNA.   He now concerns Himself with spiritual Israel.   

There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female: for you are all one in Christ Jesus. Gal 3:28 We are not all Water Baptized the same and some believers have never been Water Baptized.     However, it is in the putting on of Christ Jesus that we are baptized into Him.      There is no difference in us who are In Christ.      This statement is the broadest most inclusive statement that can be made regarding our Lord`s will for humanity.     We are not one in physical birth but we become one in the New Birth.

I love them that love me; and those that seek me early shall find me. Pro 8:17 The Holy Spirit is Love and He Loves.      But we have the Authority to turn His Love off toward us.      Rejecting Him by rejecting Christ Jesus cuts a person off from His Love.     That is how He is able to send such to the Lake Of Fire Heb 10:38 Rev 20:15.      But we are not of those that draw back Heb 10:39.      Rather, we draw near and experience more and more of His awesome Love and Grace Joh 1:16 Eph 3:8.

Draw near to the Lord, and he will draw near to you.     Cleanse your hands, you sinners; and purify your hearts, you double minded. Jam 4:8 It is the Lord who draws us to Him by His Holy Spirit but that is just a tug.     We must respect His wooing by turning to Him and desiring Him.      Sinners can only cleanse their hands by repenting, turning to Christ and receiving His cleansing blood, Christians can only purify their hearts by deciding to believe the Word Of The Lord exclusively.     Otherwise, they are Double Minded which yields confusion, fear, unbelief and weakness.