Galatians 2:11-14
11 Now when Peter had come to Antioch, I withstood him to his face, because he was to be blamed; 12 for before certain men came from James, he would eat with the Gentiles; but when they came, he withdrew and separated himself, fearing those who were of the circumcision. 13 And the rest of the Jews also played the hypocrite with him, so that even Barnabas was carried away with their hypocrisy. 14 But when I saw that they were not straightforward about the truth of the gospel, I said to Peter before them all, “If you, being a Jew, live in the manner of Gentiles and not as the Jews, why do you compel Gentiles to live as Jews?
The Bible clearly disagrees with your assertion.
No, it states that he ACTED wrongly. It was Peter who first promulgated that doctrine. Hence, Paul says he was a HYPOCRITE: because he PROCLAIMED one doctrine and lived beneath it.