The verses which follow show exactly how Gentiles are made nigh:
"For he is our peace, who hath made both one, and hath broken down the middle wall of partition between us; Having abolished in his flesh the enmity, even the law of commandments contained in ordinances; for to make in himself of twain one new man, so making peace; And that he might reconcile both unto God in one body by the cross, having slain the enmity thereby" (Eph.2:14-16).
Both the Jews and the Gentiles are made nigh because both are members of the New Man, the Body of Christ.
And here is what we read about the New Man, the Body of Christ:
"And have put on the new man, which is renewed in knowledge after the image of him that created him: Where there is neither Greek nor Jew, circumcision nor uncircumcision, Barbarian, Scythian, bond nor free: but Christ is all, and in all" (Col.3:10-11).
We are made nigh when both are baptized into the Body of Christ. We are not msde nigh to the Commonwealth of Israel.