The previous studies linked above revealed that the conflict between the false brethren / circumcision party / certain men from James on one side, and the apostles and Paul on the other side, had to do with keeping the Oral Law, which Paul contended brought into bondage again, vs. keeping the written Law (Torah) only. For there is no such command in Torah to separate from Gentiles and not eat with them, but this was a custom of the Jews found in the Oral Law. The council that Paul attended in Jerusalem is related in more detail in Act 15, and the previous studies explain these issues and give important background information.
I found a single complex chiastic structure in Gal 2:
1a) Gal 2:1-5, Paul went up to Jerusalem with Barnabas and Titus:
– 1a.1) Gal 2:1-2a, The gospel Paul preached among the Gentiles;
– 1a.2) Gal 2:2b, He communicated privately to those who were of reputation;
– 1a.3) Gal 2:3-5, Titus not compelled / false brethren / the truth of the gospel:
— 1a.3.1) Gal 2:3, Titus, being a Greek, was not compelled to be circumcised;
— 1a.3.2) Gal 2:4-5, False brethren to whom we did not yield the truth of the gospel;
1b) Gal 2:6a, But from those who seemed to be something;
central axis) Gal 2:6b, God shows personal favoritism to no man;
2b) Gal 2:6c-10, Those who seemed to be something added nothing to me but approved me;
2a) Gal 2:11-21, Peter had come to Antioch:
– 2a.3) Gal 2:11-14a, Peter not compelled / circumcision party / the truth of the gospel:
— 2a.3.1) Gal 2:11-12a, At first Peter not compelled to separate from the Gentiles;
— 2a.3.2) Gal 2:12b-14a, Fearing these men, they were not straightforward about the truth of the gospel;
– 2a.2) Gal 2:14b, Paul reproved Peter publicly;
– 2a.1) Gal 2:14c-21, The gospel that Paul preached: justification by faith, not works.
Please note that Paul is not saying that works or obedience to the written Law, Torah, has no value, but that justification – salvation, righteousness, right standing before God – is not obtained by works of the law but by faith in Christ alone. The previous studies will help clarify what Paul is discussing, being careful to harmonize his statements here with the doctrine expressed in his other letters and the rest of Scripture.