Activate Grinding Station by tapping it and sacrificing Sword of the Meek.
Summoning Station triggers, untapping itself.
Resolve the Grinding Station ability, causing target player to mill three cards.
Activate Summoning Station by tapping it, creating a 2/2 Pincher creature token.
The Pincher enters the battlefield as a 1/1 creature due to Godhead of Awe, triggering Sword of the Meek, returning Sword of the Meek from your graveyard to the battlefield attached to the Pincher.
Sword of the Meek enters the battlefield, triggering Grinding Station, untapping Grinding Station.