What Clinton meant by "unique capabilities" is that the United States has military power that other participating nations don't have, and it is that power, and virtually that power alone, that makes the Libyan war possible. Clinton's two key statements: 'We did not lead this" and "America has unique capabilities" are not consistent with each other. Because of America's unique capabilities, it is in fact leading the Libyan effort.
That became entirely clear in Gortney's briefing. "In these early days, the operation will be under the operational command of General Carter Ham, commander of U.S. Africa Command," Gortney told reporters at the Pentagon. "And the commander of Joint Task Force Odyssey Dawn, which is the name of this operation, is Admiral Sam Locklear, who is embarked on board USS Mount Whitney in the Mediterranean."