And the new birth requires that first of all a sinner repent and believe on the Lord Jesus Christ (John 1:12,13). But you would like to put the cart before the horse. There is no regeneration without the gift of the Holy Spirit, and there is no gift of the Holy Spirit without obedience to the Gospel FIRST. So you are calling Gospel truth a "straw man". Shame on you. You have also dismissed the power of the Gospel. which means that you have another gospel -- a false gospel.
The passage you cite doesn't teach that. The text does not speak to when the Holy Spirit is given.
John 1:12-13
12
Yet to all who received him, to those who believed in his name, he gave the right to become children of God— 13 children born not of natural descent, nor of human decision or a husband's will, but born of God.
NIV
Also note that these "children of God" were not born out of a human decision. In fact, the above passage harmonizes nicely with:
John 11:26
26
and whoever lives and believes in me will never die. Do you believe this?"
NIV
In this logical and/or chronological order -- "lives and believes"!
As stated yesterday, there is a strong analogy between physical and spiritual birth. Please note these parallels:
1. Just as physical birth requires two people of the opposite sex to procreate, likewise scripture teaches that God's elect are born of the Spirit and the Word.
2. The source of all Wisdom is God. The three persons of the Godhead are always spoken of in the masculine gender. And God's Wisdom is revealed to the world in his Word, and Wisdom itself is spoken of in the feminine gender (Prov 1:20-21).
3. Just as a man and a woman are different from each other physically, likewise so the Spirit and the Word differ. The Holy Spirit is a living personality graciously bestowed upon God's elect and subjectively experienced by all believers in time and space; whereas [Gospel] Truth is objectively revealed to all in the holy scriptures but only received by those who have been born of the Spirit.
4. In John 3, The Holy Spirit is likened to the wind by Jesus, as He mysteriously and secretly goes hither and tither as as he sovereignly wills. Conversely, God's objective Truth is either sought out by the sons of men, or we "pillars of the truth" seek out unbelievers to whom we can reveal this Gospel Truth.
5. Physical life begins at conception, concealed in the woman's womb -- that life not being revealed to the world until many months later when actual birth takes place. Likewise, everyone us, whether we realize it or not, have had our own personal "on the road to Damascus" conversion experience, whether that experience was so subtle and nuanced that it went undetected (or virtually so) by us, or whether we had a more dramatic experience along the lines of the apostle Paul whereby we were more more acutely aware of our conversion. Who can say that a believer cannot be born (conceived) of the Spirit some time before he came to faith, and that the Spirit wasn't "concealed" in us until such time that we manifested our spiritual birth to the world by our confession of faith to the Gospel truth? Many of us could have been spiritually alive as concealed "embyros" up until the time of our profession of faith in the Truth, at which time our spiritual birth was initially revealed to the outside world, as well as to ourselves. We could have all moved from the stage of "embyro" to a "babe in Christ" to maturity.
Finally, in regard to this analogy, I think Cornelius in Acts 10 makes for a highly interesting and intriguing case study that raises more than a few questions.