Thought about "Born Again" in Christianity

I'm sure someone out there has some insight on this. I could be completely wrong, but this has been bugging me for a while and I'm curious what others who know more think.

So I was raised Catholic (12 years Catholic school) and dabbled for a few years in Fundamental Christianity as a teen. Have read enough of the bible to know that the glaring inconsistencies and contradictions are a big problem. Luckily for whoever is pushing Christianity, the vast majority of Christians have no idea what their book really says outside of a few key lines they are told are important. Anyway, I think it's pretty accepted that reincarnation was originally discussed in the bible (not sure if new or old testament or both) but one of the Catholic councils removed the references. There is still a ton of discussion about being "born again" in the New Testament. Fundamentalists say that's the only way to be "saved" from hell. Is it possible that if Jesus existed and he did discuss being born again, he was still talking about reincarnation and his words were twisted instead of removed because either (1) there were too many references or (2) it was a useful diversion from the real way you get out?