Since Jesus was a Jew, there's an obvious link between Judaism and Christianity, although the two religions are not, and never have been, the same. As monkeyeyes says, Jesus would have followed Jewish scripture and tradition. The people who came after him created Christianity -something I personally believe he never intended to happen.
As for the Dead Sea Scrolls, I believe we can learn a lot from them.
Why don't you ask your question again on R&S, under the Society and Culture section? The people there debate this sort of thing all the time - and if you're interested in learning, that's a good place to start.