The Bible is a record that has been kept and is used a a source of information. At a basic level humans transmit ideas through time by storing them in some physical medium (books, cds, brains etc). The Bible is just a medium of storage. Remove it from history and you still would have belief in gods or a god. All cultures have myths. If you totally remove the myths of any god, no one will have any knowledge of that god.
Accepting Jesus is no different from accepting the tennets of any faith. Take out the rules and stucture of the faith and what are you left with?