For eonian life, those of the nations under Paul's gospel of grace believe something different than those under Peter's Israel gospel. Paul's gospel entails faith in what Christ Jesus has DONE, whereas Peter's gospel is a revelation concerning who Jesus Christ IS.
This is a fascinating look into why Paul rushed into the synagogues immediately following his conversion. Paul's ministry was twofold but simultaneous. He would enter into a city's synagogue—probably in the morning—saying one thing, and then in the afternoon would hobnob among the nations saying something completely different, that is, promoting his gospel of salvation by grace apart from
law.
No one knew more about both evangels than Paul—and here is a real-life, practical look into how this knowledge affected him, what he did about it, and what it meant for Peter.