opusdei,
Those early Christians were focused on the person, now known as Jesus Christ. The initial Christians were not interested in writing - even their Leader Jesus left nothing in writing. The earliest written material comes from 49 CE by the Apostle Paul - who never witnessed Jesus. Indeed, none of the writers either saw or heard Jesus.
Paul's writings were local instructions covering specific topics, never intended to be read as Scripture. This attitude gradually changed as we see in the letters falsely attributed to Peter, written about 150 CE.
Paul was focused completely on local issues because he fully expected Jesus to return during his own lifetime. Paul had no vision for a long future( which is one reason we know he did not write those letters that discuss organisational matters, such as the appointment of elders.)
When they started to document their thoughts, these writers searched the Hebrew texts with the sole intent of supporting their predetermined ideas about a Person - Jesus Christ. So they selectively quoted texts that they could twist to mean that the Hebrew texts applied to Jesus. So they did not quote texts because they considered them to be "inspired".
The writers of the NT never claim that their writings were "inspired". The sole text brought up by Fundamentalists uses a unique word "theopneustos" - literally meaning "God-breathed", but used only once (by someone who pretended to be Paul - so much for his/her inspiration).
A small but very interesting book, "A High View of Scripture?" by Allert puts a lot of this into perspective.
Investigate "Higher Criticism".
Doug