I too asked a rabbi and she said it exists in the mysticism of the Kabbalah; lots of people have lots of ideas about this. Don't know how/if Christianity addresses Kabbalah but, I know there were/are Christian mystics. I am not a religious scholar but I know that lots of people in lots of religious traditions pick and choose what they want to believe about spirituality; it does not make them any more or less a follower of the tradition. Most people follow the dogma that suits them best and develop their own spirituality. I'm not saying you or KK are correct or not, just that there is a LOT of wiggle room. The fact is we don't know if reincarnation exists.
The Bible itself is full of contradiction. I do not, I stress that I-in my own personal belief system, do not believe that the Bible is THE Word of God. It has been filtered and interpreted by too many humans to be THE Word. I find it a good source of literature and history and one version our creation. For example, where do the women that Noah's grandsons married come from? According to Genesis 6:13 "So God said to Noah, "I am going to put an end to all people, for the earth is filled with violence because of them. I am surely going to destroy both them and the earth." If all perople other than Noah, his sons and their wives were destroyed, Noah's grandsons (Genesis 10) would have married thier first cousins, which is not only incestuous but also causes a myriad of health problems. Look at Europe's royal families and the insanity and health problems that resulted from such unions. Incest as a topic is not even covered in the Bible until Moses, in Leviticus, there are mentions of it earlier but the specific prohibitions are not spelled out until Leviticus 18.
Just my tuppence,