Christ has already saved all sinners, Robert. And that saving act gave us all spiritual life (John 6:51) with which to repent and believe.
Yes, AFTER having been made spiritually alive. NOT BEFORE, as you teach. Repentance is overcoming the evil of impenitence. Believing is overcoming the evil of unbelief. Attached to Christ Who is our life (Col 3:4), we have His Power to overcome evil (Phil 4:13). And overcomers will NOT be blotted out from the book of life.
We are made spiritually alive by hearing and believing the Gospel, Galatians 3:2 also Romans 10:17.