Do you know the you can teach a concept with the use of certain wordsStill no scripture saying " regeneration through faith " What you do is compile up scriptures you have the slightest idea what they say and mean, impose your imagination on them, then challenge folk to prove what you are imagining is wrong. Thats very supine of you to say the least, but I am not going to encourage you in that. Im not about to begin explaining all the verses you round up and dont know how to explain them yourself !
What we have here is fan exposition of regeneration
Regeneration is the means by which God purifies (cleanses) the heart. In scripture it is likened as going from death to life - spiritual death to spiritual life thus is a resurrection or a raising up
so if we speak of the heart being purified we are speaking of regeneration
and if we discuss a spiritual resurrection we are speaking of regeneration
With that in mind
Acts 15:9 —ESV
“and he made no distinction between us and them, having cleansed their hearts by faith.”
Regeneration is what cleanses the heart. The heart is cleansed by faith
Col. 2:12 —ESV
“having been buried with him in baptism, in which you were also raised with him through faith in the powerful working of God, who raised him from the dead.”
Being raised here is a raising of the spirit that is regeneration
The content of faith being the gospel
1 Cor. 4:15 —KJV
“For though ye have ten thousand instructors in Christ, yet have ye not many fathers: for in Christ Jesus I have begotten you through the gospel.”
to be begotten is to be born again -regenerated
James 1:18 (KJV 1900)
18 Of his own will begat he us with the word of truth, that we should be a kind of firstfruits of his creatures.
began - born again through the word of truth the gospel
1 Pet. 1:23 —ESV
“since you have been born again, not of perishable seed but of imperishable, through the living and abiding word of God;”
born again -regeneration the word of God the gospel
Now the gospel must be believed to benefit
Hebrews 4:2 (KJV 1900)
2 For unto us was the gospel preached, as well as unto them: but the word preached did not profit them, not being mixed with faith in them that heard it.
regeneration is certainly a benefit therefore the gospel must be believed to effect regeneration
Or you could have just asked John and Jesus
John 3:3 (KJV 1900)
3 Jesus answered and said unto him, Verily, verily, I say unto thee, Except a man be born again, he cannot see the kingdom of God.
John 3:9 (KJV 1900)
9 Nicodemus answered and said unto him, How can these things be?
John 3:14–18 (KJV 1900)
14 And as Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up: 15 That whosoever believeth in him should not perish, but have eternal life. 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. 17 For God sent not his Son into the world to condemn the world; but that the world through him might be saved. 18 He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God.