This is where we disagree. Men can and do reject Salvation. it's true that we can't make God save us but God will not save those who do not believe Scripture never says that He does.
MB
Something to consider is this statement found in the opening of Hebrews 12:
1Therefore, since we are surrounded by so great a cloud of witnesses, let us also lay aside every weight, and sin which clings so closely, and let us run with endurance the race that is set before us, 2looking 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.
Other versions use "author and finisher of our faith."
Note the use of the definite article, "the." The author, the finisher. The faith is ours by gift from Him. (Ephesians)
How does such faith come? By hearing the Word. (Romans)
This is an important principle. Human innate "faith" is fallen as any other attribute from the first Adam, and no more than a failed hope.
But believer's faith given by God is "the assurance of things hoped for, the conviction of things not seen. 2For by it the men of old gained approval. (Hebrews 11:1,2)
God does not have to "make us believe" we believe because of that which He founded (authored) in the core of the believer upon hearing the Scriptures. All that He has selected, will come to Christ. That is the plain teaching of John 10. 16“I have other sheep, which are not of this fold; I must bring them also, and they will hear My voice; and they will become one flock with one shepherd." Please note that this uses of "will". It is not a matter of choice.
You are correct that "we cannot make God save us." This is the basic fallacy of those who make much of the innate free will decision of accepting and rejecting.
Such have trouble remembering that ALL have sinned. ALL have and cannot measure up to what God expects - they have come up short. That there is NONE righteous, and there is no righteousness innate within any person born of the first Adam.
This is why the Scriptures teach we are New creation, Born from above, and other such presentations that remove "ability" from the capacity of human to that of the purview of God.