Except that the Bible says it is by grace, and through faith, and that faith is a gift of God. The very Greek word translated faith in that passage indicates something that is given because it comes from outside of us. That does not mean it is forced on us. By logic, if it is forced, it is not real. It is a working of the Holy Spirit (John 3) on a person that opens the eyes of their understanding, removes the hard heart replacing it with a heart of flesh, so that when they hear the gospel, they choose----not to believe, but choose Christ.
You can find several other verses where grace is a gift, but no other where faith is a gift.
And the faith in Christ allows access to the grace:
Romans 5:1-2 (KJV) 1 Therefore being justified by faith, we have peace with God through our Lord Jesus Christ: 2 By whom also we have access by faith into this grace wherein we stand, and rejoice in hope of the glory of God.
Romans 5:15 (KJV)
But not as the offence, so also [is] the free gift. For if through the offence of one many be dead, much more the grace of God, and the gift by grace, [which is] by one man, Jesus Christ, hath abounded unto many.
Romans 5:17 (KJV)
For if by one man's offence death reigned by one; much more they which receive abundance of grace and of the gift of righteousness shall reign in life by one, Jesus Christ.)
Ephesians 3:7 (KJV)
Whereof I was made a minister, according to the gift of the grace of God given unto me by the effectual working of his power.
Ephesians 4:7 (KJV)
But unto every one of us is given grace according to the measure of the gift of Christ.