1} I would laugh about it. The neighbor clearly has a sense of humor. I might jump the fence and place a long strand of paper towel between the shrubs to blow in the wind.
2} I would max out all my charge cards enjoying every minute of it. Since I am not married and NY doesn't have a coman law marriage,,my bills can get forward to the grave.
3} Since I have no kids I have to pretend here. I would start to open the door and quickly close it. Run change my clothes, clean my house and then open the door and hopefully they have left.