Sola Scriptura and Regeneration

According to Scripture, regeneration does not take place before belief. Consider the following passages:
John 3:15,16That whosoever believeth in him should not perish, but have eternal life.
For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life.

Ephesians 1:13 In whom ye also trusted, after that ye heard the word of truth, the gospel of your salvation: in whom also after that ye believed, ye were sealed with that holy Spirit of promise.

Acts 16:30,31-And brought them out, and said, Sirs, what must I do to be saved? And they said, Believe on the Lord Jesus Christ, and thou shalt be saved, and thy house.

Why do Calvinists insist that the new birth (regeneration) takes place before belief? Some, such as Authur Pink, rush to 2 Thess. 2:13-God hath from the beginning chosen you to salvation through sanctification of the Spirit and belief of the truth. The only problem is this- that verse is not giving the order of salvation. It is clear by the previous passages what the order is.

There are sincere Calvinists that use the phrase “Sola Scriptura” and attempt to live by it. Yet when is comes down to being confronted with clear passages of Scripture, they run to respected authors such as John Piper, John MacArthur, Authur Pink, and John Calvin to quote their works. Some run to confessions and creeds to back up the theory of Calvinism. The question I ask is this, “What happened to “Sola Scriptura?” If they really lived the motto, there would be no question about the order of regeneration and belief. Who is the final authority? Is it God, or man?