In a medium bowl, stir together the flour, salt and basil leaves.
Mix in the butter, olive oil and water until it becomes a smooth dough. Cover and refrigerate for 20 minutes.
Preheat the oven to 350 degrees F (175 degrees C). Butter an 8 inch pie plate. Press the dough into the bottom and up the sides of the dish until it is about 1/4 inch or 1/2 centimeter thick.
Bake for about 8 minutes in the preheated oven, until just starting to brown.
Make a layer of mushrooms and onion in the bottom of the pie crust. Top with a layer of tomatoes, olives and anchovies. Dot with goat cheese.
Return to the preheated oven, and bake for 10 minutes, or until golden brown.