You’re presenting the gospel according to John Calvin, and not according to John 3:16.
Calvinism is absolutely backwards in the bottom line conclusion it reaches, in trying to fit scripture into what they call the doctrine of grace.
The Bible makes clear that faith is how we access grace, and therefore faith precedes grace, thus precedes salvation - yer Calvinism has reversed what scripture says
Scripture says the sequence of salvation is: 1. believe 2. be saved
Acts 16 the jailer asked, what must I do to be saved? The answer was 1. Believe in the Lord Jesus and 2. you shall be saved.
Yet Calvinism has to reverse the sequence of salvation, to make it fit reformed dogma. In Calvinism the salvation sequence is 1) be saved and 2) believe.
If Paul gave the calvinist version of salvation, when the jailer asked, what must I do to be saved?, the answer would be NOTHING - if you’re one of the elect, you are predestined to be regenerated, and then you will believe in Jesus and be saved - and if you’re not predestined and elected, you cannot ever believe, and you will be damned.
Calvinism claims that everyone is born so spiritually dead, that it’s impossible to believe the gospel, unless God First regenerates them (the elect only) and makes them alive (thus granting them salvation), and then they will believe.
So compare scripture that states: 1. believe 2. be saved saved with Calvinism: 1. be saved 2. believe.
This means that the claim that grace/salvation/regeneration precedes faith, is diametrically opposed (reversed, backwards) to scriptures that state faith precedes grace/salvation/regeneration.
So how does faith come?
In reformed dogma/Calvinism, faith comes only by being one of the predestined elect, and being regenerated and made spiritually alive and receive grace.
Yet Romans 10:17 states that faith comes by hearing the word of God.
The sequence of biblical salvation is: 1) hearing the word and getting the gift of faith Romans 10:17 2) choosing to reject or receive Jesus John 1:11-12 3) being saved.
Ephesians 2:8-9 by grace are you saved THROUGH faith.
Yes, faith is the gift that we get from God that we get to grace, THROUGH.
Rom 4:16 Therefore it is of FAITH that it might be by GRACE; to the end the promise might be sure to all the seed; not to that only which is of the law, but to that also which is of the faith of Abraham; who is the father of us all,
Rom 5:2 By whom also we have access BY faith INTO this grace wherein we stand, and rejoice in hope of the glory of God.
Faith is how you access grace. Faith precedes grace.
Yet Calvinists insist that grace/regeneration precedes faith.
I’ve run into so many Calvinists that don’t even know the doctrine they espouse (proclaim), teaches that regeneration precedes faith, that I’ll post this link to RC Sproul on a Calvinist website, to prove they teach exactly that:
Regeneration Precedes Faith
Calvinism’s version of Ephesians of 2:8-9 is: by grace (regeneration) you are saved, and then have faith.
But faith is how we get TO grace. And faith is the gift we get when we hear the word of God.
Faith comes from hearing Gods word, not from being the elect - Calvinism is gross theological error.