The NT relates how the Christian church is the new people of God, assuming all the privileges and responsibilities of Israel in the OT, but with a universal mission to all the world, rather than any one nation.
NT believers are God's people
See also
Believers are the true children of Abraham
pp Lk 3:8
The church is the people of God
God's chosen people
God's children
God's possession
God's servants
The temple of God
The body of Christ
Jesus Christ sends believers into all the world