You ignored the fact that Peter called the meeting to order and made everyone listen to Paul and James who were already in lockstep with Peter's position.
That is NOT true and is easily refuted by Scripture. There is no record of that happening. It's just wishful thinking on the part of any Catholics who want to give Peter a position he never claimed for himself.
The only way to get your interpretation out of that passage is to read more into it than it really says. But Catholics as a whole, are good at that. Everything they teach has to be read into or reinterpreted by the church to tell its adherents what to think and believe.
Where in this entire passage does it say that Peter called the meeting together and made everyone be quiet to listen to Paul and Barnabas?
Acts 15:1-13 1 But some men came down from Judea and were teaching the brothers, "Unless you are circumcised according to the custom of Moses, you cannot be saved." 2And after Paul and Barnabas had no small dissension and debate with them, Paul and Barnabas and some of the others were appointed to go up to Jerusalem to the apostles and the elders about this question. 3So, being sent on their way by the church, they passed through both Phoenicia and Samaria, describing in detail the conversion of the Gentiles, and brought great joy to all the brothers. 4 When they came to Jerusalem, they were welcomed by the church and the apostles and the elders, and they declared all that God had done with them. 5But some believers who belonged to the party of the Pharisees rose up and said, "It is necessary to circumcise them and to order them to keep the law of Moses."
6 The apostles and the elders were gathered together to consider this matter. 7And after there had been much debate, Peter stood up and said to them, "Brothers, you know that in the early days God made a choice among you, that by my mouth the Gentiles should hear the word of the gospel and believe.
8And God, who knows the heart, bore witness to them, by giving them the Holy Spirit just as he did to us, 9and he made no distinction between us and them, having cleansed their hearts by faith. 10Now, therefore, why are you putting God to the test by placing a yoke on the neck of the disciples that neither our fathers nor we have been able to bear? 11But we believe that we will be saved through the grace of the Lord Jesus, just as they will."
12And all the assembly fell silent, and they listened to Barnabas and Paul as they related what signs and wonders God had done through them among the Gentiles. 13After they finished speaking, James replied, "Brothers, listen to me.