1. Preheat oven to 350°.
2. Beat Cheddar cheese, olives, butter, blue cheese, half-and-half, and salt at medium speed with a heavy-duty electric stand mixer until blended. Gradually add flour, beating just until combined.
3. Turn dough out onto a well-floured surface. Divide dough into 2 equal portions, and flatten each into a disk; roll each to 1/8-inch thickness. Cut with a 2 1/2-inch moon-shaped cutter. Place dough 1 inch apart on parchment paper-lined baking sheets. Bake 15 to 20 minutes or until golden; cool on baking sheets on wire racks 30 minutes.