Mix the flour, butter, and baking soda together in a food processor. Then add the milk and blend. This is a wet crust. Divide it in half and roll out on waxed paper with some flour on top and bottom so it won't stick to your rolling pin. Lay one crust in a 9" pie pan.
Heat the oven to 400.
Lay the sliced tomatoes in the crust, salt and pepper as desired, sprinkle with the basil and 1 cup of the cheese. Thin the mayonnaise a bit with the lemon juice and spread over the tomatoes. Sprinkle the other 1/2 cup of the cheese on top.
Roll out the rest of the pie crust and put on top, tucking the edges under the bottom layer and then pinching together between your thumb and the knuckle of your forefinger as you circle around the pie. Cut a few slits in the top crust.
Bake the tomato pie for 25 minutes at 400. If you like, Laurie Colwin suggests you can do this in the morning and then reheat at 350 just until the cheese is melted at dinner time. I personally rarely think that far ahead so just baked it at dinner time.