Paul is talking to Christians. He's not talking to Jews, he's not talking to unsaved gentiles, nor proselyte Jews. He's talking to Christians. He's talking to those who have been saved by faith in Jesus Christ. Christians.
He was talking to Gentiles in the covenants of promise. Not us.
Non-Christian Gentiles were called Uncircumcision (circumcision is another word for the Law). "Greeks" is another word for Gentiles.
"Non Christian Gentiles" is a made up term. All Greeks are Gentiles, but not all Gentiles were Greeks. So Paul is already sent to certain Gentiles, "Greeks". They are those Gentiles to whom Paul was first sent (Acts 26:17 KJV). They were the Gentiles who were being called at that time (Acts 13:26 KJV, 1 Cor. 1:24 KJV). They feared God (Acts 13:26 KJV). Paul found them in the synagogue of the Jews. What were Gentiles doing in the synagogue of the Jews? They were seeking a blessing as per Genesis 12:3 KJV. They were fearing God and working righteousness. What they didn't know, was that their blessing would be the forgiveness of sins! They would hear how that Christ died for their sins and that He was buried and rose again the third day for their justification! They would be stablished into the Body of Christ by Paul's my gospel and the preaching of Jesus Christ according to the revelation of the mystery, the wisdom of God in a mystery (1 Corinthians 15:1-4 KJV, Romans 16:25-27 KJV, 1 Corinthians 2:6-8 KJV)!
The Greeks are of those who "first trusted in Christ" (the body of Christ beginning with the apostle Paul 1 Timothy 1:16 KJV). They are the "them that were nigh" (Ephesians 2:17 KJV). They were aligned with Israel. They had a hope (Genesis 12:3 KJV). They were in the promise: heirs according to the promise.
Galatians 3:29 KJV And if ye be Christ's, then are ye Abraham's seed, and heirs according to the promise.
That cannot be said about Gentiles such as we! It was not until Paul revealed that the Lord was going to send him again, but this time far hence unto the Gentiles (different Gentiles, different sending Acts 22:17-21 KJV), that he became a prisoner of Jesus Christ for "you Gentiles" (Ephesians 3:1 KJV people like you and me).
The Ephesians to whom Paul wrote the letter, were not "heirs according to the promise". These Gentiles were cursed Gentiles, being aliens from the commonwealth of Israel and strangers from the covenants of promise. These Gentiles in time past had no hope and were without God in the world!
Ephesians 2:11-12 KJV Wherefore remember, that ye being in time past Gentiles in the flesh, who are called Uncircumcision by that which is called the Circumcision in the flesh made by hands; 12 That at that time ye were without Christ, being aliens from the commonwealth of Israel, and strangers from the covenants of promise, having no hope, and without God in the world:
These Ephesians are of the "ye" whom "also trusted" (as are we).
Ephesians 1:13-14 KJV In whom ye also trusted, after that ye heard the word of truth, the gospel of your salvation: in whom also after that ye believed, ye were sealed with that holy Spirit of promise, 14 Which is the earnest of our inheritance until the redemption of the purchased possession, unto the praise of his glory.
It is the fellowship of the mystery~ the "both" made "one", the "twain" made "one new man"!
1.The Jews and Greeks, those gathered during Paul's Acts ministry, those in the commonwealth of Israel. They had a hope
...And
2. The "you Gentiles",in time past aliens from the commonwealth of Israel and strangers from the covenants of promise, having no hope and without God in the world
Ephesians 2:13-15 KJV But now in Christ Jesus ye who sometimes were far off are made nigh by the blood of Christ. 14 For he is our peace, who hath made both one, and hath broken down the middle wall of partition between us; 15 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;
We are fellowheirs, and of the same body with those who first trusted in Christ (Ephesians 1:12 KJV beginning with Paul 1 Timothy 1:16 KJB which includes the Romans, Corinthians, Galatians and Thessalonians) and partakers of His promise in Christ by the gospel:
Ephesians 3:6 KJV That the Gentiles should be fellowheirs, and of the same body, and partakers of his promise in Christ by the gospel:
(by the gospel: 1 Corinthians 15:1-4 KJB)
Ephesians 3:8-12 KJV Unto me, who am less than the least of all saints, is this grace given, that I should preach among the Gentiles the unsearchable riches of Christ; 9 And to make all men see what is the fellowship of the mystery, which from the beginning of the world hath been hid in God, who created all things by Jesus Christ:10 To the intent that now unto the principalities and powers in heavenly places might be known by the church the manifold wisdom of God, 11 According to the eternal purpose which he purposed in Christ Jesus our Lord: 12 In whom we have boldness and access with confidence by the faith of him.