The only reason this seems inconsistent to you is because you do not understand what is meant by "dead" in the passages quoted. "Dead" does not mean ceasing to exist. "Dead" means unable to the respond positively to the things of God. "Dead" means that the sinner's soul is, if you will, "alive", but in a sort of living death. This is absolutely consistent with the Doctrines of Grace, Spurgeon, Calvin, Bunyan, Augustine, and Paul. Now, you may disagree with this teaching, but it is important that you understand what I am saying or else you will disagree under a false premise.
Let me repeat this again for the sake of clarity. A sinner is dead spiritually. That does not mean he does not have a soul. He does. The sinner still has a soul, but that soul is dead to the things of God. Dead to righteous. That is what is meant by nekros in Eph. 2:1 and Col. 2:13. The sinner's soul is quite active in pursuing ungodliness; sin. So, why my referring to nekros as a corpse? Because that is what the word means. Nekros is the Greek word used to describe the condition of a dead body. Paul used it for effect, in order to accentuate the spiritual condition of a sinner.
I really hope this clears the matter up. Again, feel free to disagree, but at least do so without misunderstanding what I am trying to communicate.
And when the woman saw that the tree [was] good for food, and that it [was] pleasant to the eyes, and a tree to be desired to make [one] wise,
she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat. Gen 3:6
Had they at that moment become, dead in trespasses and sins; and And dead in your sins and the uncircumcision of your flesh, in that there was no longer a covenant relationship with God.
Was this passed on to all men because of this sinful act?
Do they have any power to reverse this? Unless God does something to reverse this will they, when they die be dead forever? Dying thou dost die. Gen 2:17
What would be required for this death forever to be reversed?
Was this the plan, even before the one above was created?
Forasmuch as ye know that ye were not redeemed with corruptible things, silver and gold, from your vain conversation [received] by tradition from your fathers; But with the precious blood of Christ, as of a lamb without blemish and without spot: Who verily was foreordained before the foundation of the world, the Lamb slain from the foundation of the world. From 1 Peter 1:18-20 Rev 13:8
Well what do we have here? A sinless man/lamb dead as a door nail his soul in Hades, dead. Hope? What hope? Was there more to the plan?
He has been made to be sin who knew no sin and his dead soul in Hades, his dead corruptible body laying in a tomb. With only hope? Through faith died for our sins.
In hope of eternal life, which God, that cannot lie, promised before the world began; Titus 2:1 Promised at the same time or at about the same time it was or foreordained, the child born of woman, the Son of the Living God, the Lamb of God would die.
But
God raised him from the dead: Acts 13:30 Paul, an apostle, (not of men, neither by man, but by Jesus Christ,
and God the Father, who raised him from the dead; ) Gal. 1:1 Who by him do believe in God,
that raised him up from the dead,
and gave him glory;
that your faith and hope might be in God. 1 Peter 1:21
For by grace are ye saved through faith; and that not of yourselves:
That was the meaning of dead, IMHO.