You're not seeing it.
See the purple I added in your quote? That's a contextual key. It is why you're in error citing Peter at this time. If you'd like me to explain that I can.
Hint: 1 Peter 1:1; Gal 2:9
1Pe 1:1
¶
Peter, an apostle of Jesus Christ, to the strangers scattered throughout Pontus, Galatia, Cappadocia, Asia, and Bithynia,
OK Peter preached the same Gospel to the Jews that Paul preached to the gentiles ! BRB with the other verse.
Same message Peter to the Jews and Paul to the gentiles different people same message.
And when James, Cephas, and John, who seemed to be pillars, perceived the grace that was given unto me, they gave to me and Barnabas the right hands of fellowship;
that we should go unto the heathen, and they unto the circumcision.