There's evidence that Jesus travelled to India and Tibet in his younger years, there where the bible says he was a carpenter during those years. There's many video's on this subject. Here are just two:
7min: https://www.youtube.com/watch?v=XjERTNVXgfg
30 min: https://www.youtube.com/watch?v=TEvomvO8cb0
This is important to know because it helps us to understand what Jesus really meant with that you have to go through him to enter the Kingdom of God. What this really means is that you have to become ego-less (like Jesus) to enter the Kingdom of God.
In Eastern traditions this is often referred to as ego-death or Enlightenment. And to achieve ego-death we need to go within. "Know Thyself" and "The Kingdom of God is Within" is what Jesus said.
Praying really hard to God and Jesus and accepting Jesus as your saviour will not get you out of the reincarnation process. And yes, there is evidence that Jesus originally spoke about reincarnation as well. But obviously the TPTB did not want to empower the people and therefore they would have had enough motivation to scrap reincarnation from the bible.
If you don't achieve ego-death, like Jesus, in this lifetime you don't have to worry. As long as you did not live your life in a completely selfish manner, you will go back to that place called heaven and then after a while you decide to reincarnate again. Even if you do end up in hell (which will feel like an eternity) you will get a chance again to redeem yourself. Even our brothers and sisters from the darkside were created by God.
Don't let dogmatic believers convince you that you only have one chance. People saying you only have one chance should have a good hard look at themselves. Instilling people with fear is not a good thing and is not what God and Jesus are about.
Why is it that you even think there was a Jesus then? Your logic to reject the Bible but then use it as part of your own story is flawed. Are you really going to pick those two phrases, attach them to a character in the Bible, and then say " nice, those two are gems but ah well the rest was written by humans - let's ignore the rest" Why not just use those two phrases, be buddhist, and leave Jesus out of it? The better choice would be to try to understand what the story of Jesus is and follow Him. He did say He is your God, after all.
I never said the bible is worthless. I do suggest people exercise caution with taking everything in the bible as truth. It's that simple.