A surgical tool assembly that includes a surgical end effector that has first and second jaws that are movable between a fully open position and a fully closed position relative to each other. A proximal closure member is configured to move through a first closure stroke distance upon application of a closure input motion thereto. A closure reduction linkage operably interfaces with the proximal closure member and a distal closure member such that when the proximal closure member moves through the first closure stroke distance, the closure reduction linkage causes the distal closure member to axially move through a second closure stroke distance that is less than the first closure stroke distance.