I thoroughly agree with what you have written but it still seems that you are inconsistent for if man is indeed spiritually dead and incapable of doing anything to be saved then why do you insist that the cross of Christ is sufficient to save all when Scripture proclaims its sufficiency is found in its efficiency to save those that He has decreed to be saved by grace which is not according to the will of men?
God having subdued our will He is ready to will in us to do of His good pleasure.
Paul was told to go to the street called Straight in Damascus and enquire of one Ananias, there Ananias laid his hands upon him and he was filled with the Holy Spirit.
Cornelius of course must send for Simon Peter
These are not works as such but they are the process and we are active in it.
In another place Paul says that Christ was in him always only He was only revealed or made manifest at the time of Paul's conversion. Paul's conversion could never be said to be according to his will for his will was set to destroy the gospel.
Writing in Romans 7 he writes that when he wanted to do good he did evil instead, thanks be unto God Jesus Christ set him free from that bondage.