Yadirf:
You asked: And so you feel that if you were to pass into nonexistence and then later come back to life it wouldn't be the same you. If not you then who would it be?
I feel that if I were to pass into nonexistence I could not "come back to life." God could create a new person like me, but it would not be me. It would be a copy of me. Like an identical twin. But it would not be me.
Dead people can be brought "back to life" but not nonexistent people. JWs have a different definition of death than that given in the Bible. The Bible describes dead people as "sleeping." Sleeping people are unconscious but they are not nonexistent. The Bible describes the resurrection of dead people as God "awakening" them. Sleeping people who exist can be woken up. Nonexistent people cannot be.
You asked: Cannot God recreate a person without the result being a different person?
Are you asking, "Can't God do anything, even if it seems impossible to us?" If you are, then I guess I have to say, "Yes." But the question is not what God can do. The question is what the Bible indicates God does do. And it indicates that God resurrects people by uniting their sleeping spirits with a new body.
You wrote: So what you're really getting at is that you hold to the belief that the soul is something immortal, right?
Wrong. Immortality is a gift that the Bible says God will give only to people whom He judges to be worthy of it. What I am saying is that the Bible clearly indicates that we all have spirits which God gave us and which return to Him upon our deaths and which sleep until the time God resurrects us by uniting our spirits with some sort of a body. (spirit + body = soul) At that time some will be given immortality and others will be condemned to eternal destruction. Then and only then will some people become completely "nonexistent."