Josh Duggar -- Molestation Investigation Docs to Be Destroyed

Police are about to destroy all the names and details surrounding "19 Kids and Counting" star Josh Duggar's molestation case ... after one of his alleged victims asked a judge to protect her identity.

The alleged victim -- only referred to as "Jane Doe" in the docs -- was worried an unredacted copy of the police report might see the light of day. She argued the court had a duty to destroy the report, and the judge agreed ... signing the order Thursday afternoon.

As we previously reported ... Duggar was the subject of a police investigation in 2006 for allegedly sexually molesting five girls, some of whom are his sisters.

He was never prosecuted and the statute of limitations ran out.