Forcing it as a belief system is definitely wrong, but we were forced to study plenty of literature when I was in school, much of it far less relevant. I don't see the difference with the Bible, especially if presented as a historical document and prototypical collection of stories?
I'm not religious and wasn't raised in a religious family, but when I decided to pick up a Bible and read it as a teenager I couldn't believe how much context it gave me on our culture and its origins.
Having to read and study the whole thing would also help rein in overzealous religion IMO. The #1 reason I've heard from evangelicals who left their church was "I decided to read the Bible for myself"