I always thought a good way to handle this would be to invite the complainer around to the base in the morning for a cup of tea. When they get there ask them to point out on a big picture of the airbase where their home is. Of course the photo should be taken from when the airbase was first built there. I always wanted to see the reaction when they say "my house wasn't built there then!"
I know what my reaction would have been..... probably one of the many reasons i wasn't promoted to far!