Where do you find the "Sanhedrin had earned the Respect of the Apostles"?
By the way they conducted themselves before the Sanhedrin in Acts 5:
27 The apostles were brought in and made to appear before the Sanhedrin to be questioned by the high priest. 28 “We gave you strict orders not to teach in this name,” he said. “Yet you have filled Jerusalem with your teaching and are determined to make us guilty of this man’s blood.”
29 Peter and the other apostles replied: “We must obey God rather than human beings! 30 The God of our ancestors raised Jesus from the dead—whom you killed by hanging him on a cross. 31 God exalted him to his own right hand as Prince and Savior that he might bring Israel to repentance and forgive their sins. 32 We are witnesses of these things, and so is the Holy Spirit, whom God has given to those who obey him.”
33 When they heard this, they were furious and wanted to put them to death. 34 But a Pharisee named Gamaliel, a teacher of the law, who was honored by all the people, stood up in the Sanhedrin and ordered that the men be put outside for a little while. 35 Then he addressed the Sanhedrin: “Men of Israel, consider carefully what you intend to do to these men. 36 Some time ago Theudas appeared, claiming to be somebody, and about four hundred men rallied to him. He was killed, all his followers were dispersed, and it all came to nothing. 37 After him, Judas the Galilean appeared in the days of the census and led a band of people in revolt. He too was killed, and all his followers were scattered. 38 Therefore, in the present case I advise you: Leave these men alone! Let them go! For if their purpose or activity is of human origin, it will fail. 39 But if it is from God, you will not be able to stop these men; you will only find yourselves fighting against God.”
40 His speech persuaded them. They called the apostles in and had them flogged. Then they ordered them not to speak in the name of Jesus, and let them go.
Similarly, the Apostles had an earlier runin with the Sanhedrin in Acts 4:
4 The priests and the captain of the temple guard and the Sadducees came up to Peter and John while they were speaking to the people. 2 They were greatly disturbed because the apostles were teaching the people, proclaiming in Jesus the resurrection of the dead. 3 They seized Peter and John and, because it was evening, they put them in jail until the next day. 4 But many who heard the message believed; so the number of men who believed grew to about five thousand.
5 The next day the rulers, the elders and the teachers of the law met in Jerusalem. 6 Annas the high priest was there, and so were Caiaphas, John, Alexander and others of the high priest’s family. 7 They had Peter and John brought before them and began to question them: “By what power or what name did you do this?”
8 Then Peter, filled with the Holy Spirit, said to them: “Rulers and elders of the people! 9 If we are being called to account today for an act of kindness shown to a man who was lame and are being asked how he was healed, 10 then know this, you and all the people of Israel: It is by the name of Jesus Christ of Nazareth, whom you crucified but whom God raised from the dead, that this man stands before you healed. 11 Jesus is
“‘the stone you builders rejected,
which has become the cornerstone.’[a]
12 Salvation is found in no one else, for there is no other name under heaven given to mankind by which we must be saved.”
13 When they saw the courage of Peter and John and realized that they were unschooled, ordinary men, they were astonished and they took note that these men had been with Jesus. 14 But since they could see the man who had been healed standing there with them, there was nothing they could say. 15 So they ordered them to withdraw from the Sanhedrin and then conferred together. 16 “What are we going to do with these men?” they asked. “Everyone living in Jerusalem knows they have performed a notable sign, and we cannot deny it. 17 But to stop this thing from spreading any further among the people, we must warn them to speak no longer to anyone in this name.”
18 Then they called them in again and commanded them not to speak or teach at all in the name of Jesus. 19 But Peter and John replied, “Which is right in God’s eyes: to listen to you, or to him? You be the judges! 20 As for us, we cannot help speaking about what we have seen and heard.”
21 After further threats they let them go. They could not decide how to punish them, because all the people were praising God for what had happened. 22 For the man who was miraculously healed was over forty years old.
41 The apostles left the Sanhedrin, rejoicing because they had been counted worthy of suffering disgrace for the Name. 42 Day after day, in the temple courts and from house to house, they never stopped teaching and proclaiming the good news that Jesus is the Messiah.
Never once did the Apostles contest the jurisdiction of the Sanhedrin. And plainly, St. Paul would have well-known how to raise such a defense. While they expressed their intention to continue to be disobedient to the Sanhedrin's orders, that is NOT the same as contesting its jurisdiction.