The Bible should be taught, but emphatically not as reality. It is fiction, myth, poetry, anything but reality. As such it needs to be taught because it underlies so much of our literature and our culture.
You can't understand European history at all other than through religion, or English literature either if you can't recognise biblical allusions.
Islamic myths are mostly actually plagiarized from the Christian ones, both biblically and in terms of modern creationism. If you read Islamic creationist literature, it's pretty much lifted from American evangelical literature.
Theology is a non-subject. I'm not saying that professors of theology are non-professors. They do interesting things, like study biblical history, biblical literature. But theology, the study of gods, the study of what gods do, presupposes that gods exist. The only kind of theology that I take account of are those theological arguments that actually argue for the existence of God.