Is the Bible Jewish or Christian?

The inspired Christian Bible actually is 2/3^rd inspired Hebrew writings, so that actually Christians and Jews share 2/3^rd of the inspired Bible.  However, I do not know if we can break the habit of calling the inspired Greek writings of the first century followers of Jesus, the Christ, anything other than a New Testament.  Traditions, both old and new, are hard to break.  Calling it “New” obviously implies an old or outdated classical antique Testament.  Can we change it to read the later first century canonically inspired Greek Christian writings?  Or is that too clumsy?