I believe you are correct! I believe that faith is indeed a gift from above like every other good gift.
"Nearly all the church fathers […] judged that the words “it is the gift of God” refer to faith […] this was the exegesis […] of those that spoke the Greek language and were familiar with the peculiar Greek construction."
Eph2:8–9
For by grace you have been saved through faith; and that not of yourselves, it is the gift of God; not as a result of works, that no one should boast.
Heb 12:2
Looking to Jesus, the founder and perfecter of our faith, who for the joy that was set before him endured the cross, despising the shame, and is seated at the right hand of the throne of God.
2Pet 1:1
Simon Peter, a bond-servant and
bapostle of Jesus Christ,
To those who have received a faith of the same kind as ours,by the righteousness of our God and Savior, Jesus Christ:
Phil 1:29
For to you it has been granted for Christ’s sake, not only to believe in Him, but also to suffer for His sake,
Act 13:48
And when the Gentiles heard this, they began rejoicing and glorifying the word of the Lord, and as many as were appointed to eternal life believed.
Acts 3:16
And on the basis of faith in His name, it is the name of Jesus which has strengthened this man whom you see and know; and the faith which comes through Him has given him this perfect health in the presence of you all.
1Tim 1:13-14
though formerly I was a blasphemer, persecutor, and insolent opponent. But I received mercy because I had acted ignorantly in unbelief, and the grace of our Lord overflowed for me with the faith and love that are in Christ Jesus.
Luke 17:5
The apostles said to the Lord, “Increase our faith!”