The will of man and genuine biblical faith are two different things. I can't choose to believe in Christ. What I can do is realize that I am a helpless and hopeless sinner and that all my choices based on will power are like ropes of sand. And in this state of repentance over my sin, God will give me the faith I could never produce on my own.
In one sense I agree with you, for neither you nor I nor any other "normal" person can believe to do the works that the man Jesus Christ alone could do.
If Noah could have done it, he would have.
If Samson could have, he would have.
If Abraham could have, he would have and right on down the line, but they could believe God's word to them which was that the seed of the woman would redeem mankind. Genesis 3:15 etc.
The gift of salvation was not available to them. But as Romans 4 tells us of Abraham, Abraham believed God and it was counted to him as righteousness.
They could only look forward to the accomplishment's of Jesus Christ, we can not only look back on them, but believe to receive the the gift of salvation
Righteousness is not just counted to us, it is given to us, it it ours. We have the righteousness of God. II Cor 5:21
Why? How? Because we believed God's word, we choose to believe to confess with our mouth the lord Jesus and believe in our heart that God raised him from the dead.
I did choose to believe and continue to choose to believe God's words, His written logos.
The reason I am typing this message is because I chose to share God's word as God requires of me and be a blessing to God's people. I choose to take the example of Jesus Christ's ministry and believe that I have the ministry of reconciliation like Jesus Christ did and share the word of reconciliation with people here on this website. II Corinthians 5:18-20
God's gift of salvation is received by our believing, not by our works of righteousness, for if we did the works to earn salvation, then we would not have needed either God or Jesus Christ to provide that gift for us.
We must distinguish between the believing works of Jesus Christ whose works earned the gift of salvation to and for those who would choose to believe God to receive that gift by doing Romans 10:9-10
One way I like to teach that is, "it is our job to do the possible, it is God's job to do the impossible"
As we believer to do what God instructs us to do, we allow God to do his part.
He does not force His goodness into our minds and hearts and lives though His goodness is all around us.
We must, as the father of the sick child of Mark 9 did, learn to believe God to receive from God