The capacity of faith is gifted to sinners by the grace of God, when He wills, and to whom He wills to bestow it. Romans 9:15-16
I believe you have fundamentally misunderstood Romans 9. If you wish we could work through it verse by verse. But with regard to your particular claim regarding faith and verses 15 and 16 then I am nonplussed. Paul is simply saying that (and contrary to the belief of his brethren, the Israelites) the true children of God will not be because they are descendants of Israel or Abraham (by birth), or because of any works, but, rather, because they are children of the promise. And God predestined it this way.
Who might be considered to have access to this inheritance?
Galatians 3:7,26
Understand, then, that those who have faith are children of Abraham.
So in Christ Jesus you are all children of God through faith,
This is the miracle of regeneration (John 3:1-8) that raises dead sinners to new life, enabling them to live and serve God in new accordance with the Spirit, Will, and Mind of God, as never before. This regeneration gives men the capacity to have faith in God's promises, and results in faithful actions of obedience and service to righteousness.
No, faith comes before the new birth:
v.14 and 15 Just as Moses lifted up the snake in the wilderness, so the Son of Man must be lifted up, that everyone who believes may have eternal life in him.”
Placing all emphasis on human choice, robs God of His glory as manifested in His power to resurrect. Regeneration is a resurrection from death to life; from darkness to light; to enjoy the capacity of living faith that contrasts with the condemnation of unbelief and sure death.
Regeneration/resurrection precedes the acts of repentance and faithfulness.
This is the teaching of John Chapter 3 and John 15:1-8; John 16:8-15
Mere assertion. Where is your actual argument?