The small town I am from had a Nativity Scene in a public park for years, some group complained and the village gave it to the church next to the park. Basically the display moved 20 feet west.
In a town near here they used to have a series of lit up displays put up every Easter and Christmas on the life of Christ. Then someone complained and they were gone.
One person complains and 10,000 people no longer get to enjoy the displays. If you look across the stream and lake, you can still see the flat spots on the side of the hill where they were displayed.