Short answer, yes.
True, but all Christians share the cultural background of being Christian and as Christians came from the Jews, they are our stories.
Again, with out the Old Testament, there is no New Testament.
As Christ says in the fifth chapter of Matthew.
17: "Think not that I have come to abolish the law and the prophets; I have come not to abolish them but to fulfil them.
18: For truly, I say to you, till heaven and earth pass away, not an iota, not a dot, will pass from the law until all is accomplished.
19: Whoever then relaxes one of the least of these commandments and teaches men so, shall be called least in the kingdom of heaven; but he who does them and teaches them shall be called great in the kingdom of heaven.
So I take it that you would have us drop the Old Testament. But then what of the Ten Commandments? Do they apply to Christians even though they were given to the Jews? What about all the parts of the Old Testament that tell us who Christ is? Do those prophecies mean anything to Christians even though they were given to the Jews?
With out the Old Testament the New Testament means nothing.
And as Christ says, “Whoever then relaxes one of the least of these commandments and teaches men so, shall be called least in the kingdom of heaven”.