Peter wasn’t all that important at all.
He was weak, made poor judgments, Paul had to chastise him for hypocrisy, and James was the head of the Council at Jerusalem in Acts 15.
He did a few noteworthy things but is more known for screwing up.
**and James was the head of the Council at Jerusalem in Acts 15.**
I believe that might be a non-Catholic belief. Peter did the speaking and was in charge of the Council of Jerusalem.