Where did I say they are anything more than men? The fact that they lived with God and were taught by Him makes them more knowledgeable about Christian theology than you or I. Due to this special knowledge stemming directly from God Himself, they have the authority to determine what is right and what is wrong when it comes to theology. I am not treating them as gods, and neither do any of those who hold the Apostolic faith.
Take a look at Revelation 2:2
“I know your works, your labor, and your endurance, and that you cannot tolerate the wicked; you have tested those who call themselves apostles but are not, and discovered that they are impostors."
This is Jesus speaking to the Church of Ephesus. Do you know how went to Ephesus and taught there? St. Paul. He even refers to himself as the Apostle Paul (Ephesians 1:1). If Paul was this false apostle you speak of, then the Ephesians would've rejected him. If they hadn't, and had instead accepted his false teachings, then Jesus wouldn't have commended them in Revelations for discerning false apostles and rejecting them.
Next, some proof Apostles had authority from Christ.
Matthew 10:1-4 - Jesus gave the 12 power to perform miracles. [Hebrews 2:3,4]
Mark 16:14,20 - Apostles used miracles as they PREACHED to confirm the word.
Acts 3:1-10; 8:14-24; 9:32-41
Paul could lay hands on others and bestow miraculous powers on them:
Acts 19:6,7 - He laid hands on twelve disciples so the Holy Spirit came on them and they spoke in tongues and prophesied.
2 Timothy 1:6 - He gave Timothy a gift through the laying on of his hands. [Rom. 1:11]
As for the source of authority:
John 14:26; 16:13 - Jesus promised the apostles that the Holy Spirit would come and teach them all things, guide them into all truth, and remind them of Jesus' teachings.
Matthew 10:19,20 - When they taught, they were not teaching from themselves, but the Spirit of the Father spoke through them.
[2 Timothy 3:16,17; Acts 1:5,8; 2:1-4,33; Matthew 28:18-20; 2 Peter 3:2; Revelation 1:1]
So the apostles' teachings came from the same source as did Jesus' teaching. All of them spoke the will of God as revealed to them by the Holy Spirit. The apostles' teaching was as accurate and as authoritative as was Jesus' teaching. All spoke with the infallible authority of God.
If this is not so, then in fact we do not even really know what Jesus Himself taught, since He never wrote any of the Bible. All we have are records which apostles and prophets wrote of what He said and did. If we accept what they record of Jesus' teachings, why not accept the other teaching that the Spirit guided them to write?