Peel the cucumbers into long, thin ribbons using a vegetable peeler. Let stand, between paper towels, 10 minutes.

Meanwhile, combine the cream cheese and next 7 ingredients in a bowl.

Remove the crusts from the bread, and cut in half diagonally to make triangles. Spread 1½ teaspoons of the cream cheese mixture on 1 side of half of the bread triangles, and top with cucumber ribbons (about1/4 cup each). Top with the remaining bread.