Thesis: The church doesn’t replace Israel; Jesus does.
Every spiritual blessing was won by Christ. The new testament says these blessings are “in him,” and if we are in Christ, then they belong to us. All the promises of the Old Testament now apply and are fulfilled in Christ. Therefore, if we are united to Christ, then they are ours! The kingdom that God promised his people in the Old Testament is not some fuzzy, spiritual reality now-called the church. No, the kingdom is given to Christ and we, the church, experience it through him! (Moore, 119). And what does the resurrected Jesus inherit? He inherits the promises made to Abraham, Isaac, and Jacob (Acts 13:32-33)
The NT applies to Jesus language previously applied to Israel (Ex. 4.22; Matthew 2.15). So Jesus replaces Israel, not the church.
So it’s not the church that replaces Israel, but Jesus that replaces Israel–and the church by union in Christ share and inherit these blessings (heirs with God, fellow heirs with Jesus Christ).