Well, John was jealous of Peter, but given that he is always Peter, or Simon Peter, and that he is the leading figure among the twelve, you have to go deep into semantics to reject the importance of Peter.
Not so deep.
Galatians 2:11 But when Peter was come to Antioch, I withstood him to the face, because he was to be blamed. Matthew 16: “23 But he turned, and said unto Peter, Get thee behind me, Satan: thou art an offence unto me: for thou savourest not the things that be of God, but those that be of men.”
James actually was the evident authority in the first church council gathering in Jerusalem.
Acts 15:12 Then all the multitude kept silence, and gave audience to Barnabas and Paul, declaring what miracles and wonders God had wrought among the Gentiles by them. 13 And after they had held their peace, James answered, saying, Men and brethren, hearken unto me: 14 Simeon hath declared how God at the first did visit the Gentiles, to take out of them a people for his name. 15 And to this agree the words of the prophets; as it is written, 16 After this I will return, and will build again the tabernacle of David, which is fallen down; and I will build again the ruins thereof, and I will set it up: 17 That the residue of men might seek after the Lord, and all the Gentiles, upon whom my name is called, saith the Lord, who doeth all these things. 18 Known unto God are all his works from the beginning of the world. 19 Wherefore my sentence is, that we trouble not them, which from among the Gentiles are turned to God:
...you have to go deep into a trance to believe the importance of Peter that Rome has put forward.