I could see some teenage girl giving a bear dressed in this to her missionary for a going away gift. I can just imagine it sitting on his bed in the MTC.....
You could buy the bear. When you see the Mormons coming you could hang it by the door outside with a rope around it's neck. Maybe they would get the hint and leave.
My LDS friend had bride and groom Build a Bears sitting out as a decoration at her wedding reception a couple years ago. She now has them sitting out on a table in the front room of her house. I've always got a kick out of the fact that the bride is wearing a strappy, sleeveless dress.