Preheat oven to 500. Place whole peppers in oven on baking sheet and cook 30 - 40 minutes until skins are wrinkled and peppers are charred, turning twice. Remove from oven and cover tightly with foil. Set aside for 30 minutes.
Combine next 5 ingredients in a small bowl and set aside.
Remove stems, seeds, and skins from peppers and quarter. Quarter peppers and place in bowl along with any juices collected. Add oil mixture and capers to bowl. Cover with plastic and refrigerate a few hours.
To assemble sandwiches, spread goat cheese on bottom half of bread. Add a layer of peppers, Basil leaves, top with top half of bread, and cut into serving size pieces.
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