Sounds like you are a semi pelagian. Man has been wounded but with help can choose correctly.Is believing a work?
Was it a work for Peter?
Matt 16:15He said to them, "But who do you say that I am?" 16Simon Peter replied, "You are the Christ, the Son of the living God." 17And Jesus answered him, "Blessed are you, Simon Bar-Jonah! For flesh and blood has not revealed this to you, but my Father who is in heaven.
Again, your theology presents a false choice. "Either All God or All Man" necessarily means that whichever way you choose, you eliminate the other. If you choose All God, you cannot hold Man accountable for anything - and you do not have Man but a programmed creature you mistakenly call man.
Rom 9:14What shall we say then? Is there injustice on God’s part? By no means! 15For he says to Moses, "I will have mercy on whom I have mercy, and I will have compassion on whom I have compassion." 16 So then it depends not on human will or exertion, but on God, who has mercy. 17For the Scripture says to Pharaoh, "For this very purpose I have raised you up, that I might show my power in you, and that my name might be proclaimed in all the earth." 18 So then he has mercy on whomever he wills, and he hardens whomever he wills. 19 You will say to me then, "Why does he still find fault? For who can resist his will?" 20But who are you, O man, to answer back to God? Will what is molded say to its molder, "Why have you made me like this?" 21 Has the potter no right over the clay, to make out of the same lump one vessel for honorable use and another for dishonorable use? 22What if God, desiring to show his wrath and to make known his power, has endured with much patience vessels of wrath prepared for destruction, 23in order to make known the riches of his glory for vessels of mercy, which he has prepared beforehand for glory.
With free will you have relationship. You have the possibility of love. You have reality: God and Man and His love and grace and our response, choices and consequences.
So Man determines who is redeemed, not God?
Was it a work for Peter?
I don't say that believing is a work, in the works vs. faith sense for anyone. It is believing.
For flesh and blood has not revealed this to you, but my Father who is in heaven.
Of course. We don't disagree on any of this.
So Man determines who is redeemed, not God?
Again, "all God or all Man." A false choice that leads to the dilemma that double predestination cannot solve. When your premise has only false answers, it is your premise that needs changing.