> Judaism has no hell, ask any religious Jew.
Not all historical variations of Jewish religious beliefs that existed near the time of the birth of Christianity still exist as Jewish beliefs, but, AFAICT, the Jewish belief of at a minimum something like a Purgatory is still active; the concept of hell/Gehenna explicit in the Gospels as a place of punishment reflected (possibly an evolution from) a then-current (but not at all universal) Jewish religious belief related to the one that remains current in some branches of Judaism.
> Ghenna was a burning trash heap, not a place of torment.
This idea appears to be a medieval Jewish invention. It was, again, specifically in the Hebrew scriptures, a place where children were sacrificed by fire by non-Jews.
> Also, christian Churches don't teach Jewish theology
No, they teach Christian theology, but Christian theology didn't, as whole, arise ex nihilo with the formation of Christianity as a distinct religious community, it evolved, in many specifics, from Jewish theology that existed where and when Christianity emerged.
> they teach a version of Catholisim,
Well, no. It's true that most (but not all) now-existing branches of Christianity diverged at some point from the Church that was institutionalized in Rome in the same way that Christianity itself diverged from Judaism; to claim, then, that they teach “a version of Catholicism” is true only in the exact same way as saying that they teach a version of Judaism is.
> and eternal burning hell fire of punishment is found in the Vatican's own Catechism of the Catholic Church.
It's found in the Gospel of Mark (9:43); from the KJV:
“And if thy hand offend thee, cut it off: it is better for thee to enter into life maimed, than having two hands to go into hell, into the fire that never shall be quenched”
And also in Revelation (20:10):
“And the devil who had deceived them was thrown into the lake of fire and sulfur, where the beast and the false prophet were, and they will be tormented day and night forever and ever.”
I'm pretty sure the authors of the Gospel and the Revelation weren't inspired by theological developments that would occur after the institutionalization of Roman Catholicism.
> The bible is clear that when you die, you are either asleep, like King David was (Jesus referenced his bones) or burned up and gone forever, the lake of fire from Revelations
This is phenomenally wrong: the Bible uses lots of different and superficially conflicting images of afterlife states, and the lake of fire of Revelation is explicitly one of eternal torment at least for some.