Yes, and then NSA will say "Sure, we'll protect you. You just have to give us access and control to your whole network and servers, because that's the only way to 'properly protect you'. Deal?"

This is exactly what these agencies want. To give up on your responsibility for the security of your users, so they can take over. If your company does that, please tell me now so I know to avoid it forever.

The solution is to better design anti-DDoS systems, not to let the government "handle it".