Reincarnation Round 4: Is Reincarnation against Biblical Teaching?

Some christians feel that the concept of Reincarnation conflicts with the doctrine on Resurrection. Following is one such argument:

"If reincarnation is (or was) a central part of the original Christian gospel, then historic, orthodox Christianity has veered significantly from its original course. Historic Christian orthodoxy has vigorously denied reincarnation for two principal reasons. First, Christianity has taught a doctrine of resurrection: the human soul does not return to earth after death, but is resurrected as an individual personality to face judgment. Second, it has taught that God forgives and extends mercy in the face of human sin and shortcomings. There is no forgiveness and little, if any, mercy connected with the idea of reincarnation. Each soul pays the inevitable price for its own failings and misdeeds, in hundreds or thousands of existences. "

Somehow I am baffled by this view. To me, Reincarnation and Resurrection can co-exist perfectly, without conflict. Christ had promised me that he is my personal saviour, and through Him, I will be resurrected and have everlasting life with the Father. However, if I would like to be reincarnated and live another period on earth, there is nothing wrong with that. It does not go against the fact that, ultimately, I will still be with God the Father.

In Heb 9:27, it says "...man is destined to die once, and after that to face judgement." Some christians quote this verse to refute reincarnation, which implies more than one lifetime, and hence dying not once, but as many times as the number of lifetimes.

I do not have a good interpretation for this verse. I am puzzled because there are people, notably Enoch and Elijah, who did not die at all. Also Paul died twice. (He went to paradise and returned. See 2 Cor 12:1-4). Perhaps this verse suggests that man, in each lifetime, die once. Upon reincarnation, he is another man, and subject to death again.

So in Round 4 of this study, I could not conclude whether or not reincarnation is advocated in the scriptures. But I honestly do not see a conflict between reincarnation, which is the soul taking on another physical body; and resurrection, which is the soul dwelling in God's kingdom forever ultimately.