A hypothetical question, granted, but I certainly would imagine NATO having the ability to forward project a command and control structure that would be led by a joint task force commander. That ability is very much resident in the NATO structure.
One of the benefits of NATO as an alliance is that it can pick up and move globally, and can put down a command and control joint structure and allow forces and nations to plug into that. I think one of the strengths of the NATO enterprise is the ability to fuse together an alliance internationally.