Thankfully I do not see the word "baptism" in that passage. Which means that it refutes your ideas.
(Born of God) faith and baptism
Jn 1:12-13 But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name:
13 Which were born, not of blood, nor of the will of the flesh, nor of the will of man, but of God.
1 Jn 5:4 For whatsoever is born of God overcometh the world: and this is the victory that overcometh the world, even our faith.
5 Who is he that overcometh the world, but he that believeth that Jesus is the Son of God?
6 This is he that came by water and blood, even Jesus Christ; not by water only, but by water and blood. And it is the Spirit that beareth witness, because the Spirit is truth.
7 For there are three that bear record in heaven, the Father, the Word, and the Holy Ghost: and these three are one.
8 And there are three that bear witness in earth, the Spirit, and the water, and the blood: and these three agree in one.
Born of God by baptism
God breathed life into Adam, gen 2:7 and we received this life from our fathers!
Christ breathed on the apostles our spiritual fathers, we receive the new covenant life of God’s grace from them thru faith & baptism! Jn 20:21-23 Mk 16:16 acts 8:36-38
Christian ritual of baptism:
Immersion, sprinkling, pour pure water over the forehead three time with the words, I baptize thee in the name of the father, and of the son, and of the Holy Spirit! Ez 36:25-27 Mk 16:16 Matt 28:19 Acts 2:38-39 Acts 8:36-38 Acts 22:16
1 Pet 3:21
Proper intention: to make a new creature in Christ, to put on Christ, initiation into the new covenant of grace
Matter: pure water
Form: the words
Born again! Born from above!
'The Father has set his seal' on Christ (John 6:27) and also seals us in him (cf. 2 Corinthians 1:22; Ephesians 1:23, 4:30). Because this seal indicates the indelible effect of the anointing with the Holy Spirit in the sacrament of Baptism,
Baptism indeed is the seal of eternal life." 87 The faithful Christian who has "kept the seal" until the end, remaining faithful to the demands of his Baptism, will be able to depart this life "marked with the sign of faith," 88 with his baptismal faith, in expectation of the blessed vision of God - the consummation of faith - and in the hope of resurrection.
St. Paul tells the faithful at Ephesus that they have been “sealed with the promised Holy Spirit.” This is in terms of an indelible character imprinted on the soul in the sacraments of baptism and confirmation. It is not as if this invisible mark is simply decorative. Rather, through it, we are enabled to participate in Christ’s mission and in his offices of priest, prophet, and king. Eph 1:13
Sealed by God eph 1:13 sealed by God (ez 36:25-27) in the ark of salvation by baptism just as Noah was sealed by God in the ark of the flood gen 7:16
1 Pet 3:20 Which sometime were disobedient, when once the longsuffering of God waited in the days of Noah, while the ark was a preparing, wherein few, that is, eight souls were saved by water.
21 The like figure whereunto even baptism doth also now save us!
(Ark of Noah a type of the church, member of Christ and his church and salvation by baptism!)
(Outside the ark of Noah none were saved, outside the church (the ark of salvation) none are saved!)
Sealed in the ark, sealed in the church the ark of salvation by baptism!