How is the DSM and different from the Bible or Quran

All I see are three books demanding the reader to hold faith and belief in things for which there is no objective evidence.

The DSM might as well write if the woman floats she burns and then psychiatrists would dump the woman in the river and then burn witches.

If they report voices they will respond to injections

If they float they must burn

How is this different????

Psychology seems like a half science half faith.