In a clean bowl of a food processor, add the almond paste, mascarpone cheese, honey, and vanilla. Process until a smooth paste is formed. Scrape down the side of the bowl to blend and process again. Make sure there are no clumps of almond paste in the mix. Taste and add a couple of drops of almond extract if you want the filling to have more almond flavor. Go very light with the almond extract because it is very strong.
Remove the pie dough from the refrigerator and if it is too hard, let it rest at room temperature for a couple of minutes. Remove the plastic wrap and place the dough on a lightly floured and clean work surface. Whack the dough with your rolling pin across the dough to soften it up and start forming a circle. Rotate the dough 180° and whack it again 4 times across the dough. Turn the dough over and repeat.
Roll out the dough with your rolling pin starting at the center of your dough and roll it in one direction away from you. Move the rolling pin around the dough circle and roll out in one direction. Turn the dough over and continue to roll and shape the dough until you have a circle with a 12-inch diameter and is ¼ inch (.5) thick.
Fold the dough border over the toppings to create an edge. Pleat the border to maintain the circle shape. You can bake the tart right away, but if it took you a while to arrange the tart filling over the dough and you are concerned about the tart expanding and opening up when baking, refrigerate the tart, loosely covered with plastic wrap for 30 minutes or freeze for 15 minutes.