Actually I believe you are wrong, as we have skirted this issue several times in the past. First let me say I don't believe one must put two passages together from two or more books or letters to build a doctrine. In doing so is IMO one way we add to the word of God.
John 3:5 is a prime example When Nic. ask about entering his mothers womb a second time, he directed his answer to that question. Baptism in never spoken in scripture as a birth ever. To ignore the many passages that say "he that believeth on him shall be saved"
John 3:16 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.
Act 2:21 And it shall come to pass, that whosoever shall call on the name of the Lord shall be saved.
Act 10:43 To him give all the prophets witness, that through his name whosoever believeth in him shall receive remission of sins.
Act 10:44 While Peter yet spake these words, the Holy Ghost fell on all them which heard the word.
Rom 4:2 For if Abraham were justified by works, he hath whereof to glory; but not before God.
Rom 4:3 For what saith the scripture? Abraham believed God, and it was counted unto him for righteousness.
Rom 4:4 Now to him that worketh is the reward not reckoned of grace, but of debt.
Rom 4:5 But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.
Gal_3:26 For ye are all the children of God by faith in Christ Jesus.
Eph_2:8 For by grace are ye saved through faith; and that not of yourselves: it is the gift of God: