You've got some set theory in here. Is it all correct? I don't know. I am too far removed from education to follow it that closely.
In plain terms, it looks to me like you are asserting God and using Russell's paradox to dress it up.
It's complicated enough to lose me, and I have some training in it. The lay public won't follow it at all.
Then, after your proof of God, you have a call to action, which is not justified.
I have used Godel's incompleness theorems to show God cannot be omniscient. There are true statements that powerful systems in math cannot ascertain. By extension, there are things that are true that God using His algorithm cannot ascertain (by extending Godel's theorem to God). This shows God cannot be omniscient.
Reconcile this with your demonstration of God. Maybe Russell's paradox can show why God can still be God without omniscience.