I'd like to see ANY fleet in the world...or combined fleet...challenge a combined US Carrier task force at sea.
While there may be some risk in coastal waters, noting can compete with a full battle group. They bring subs for sub-surface protection...and the aircover makes all the difference.
If you want the ability to P R O J E C T power, there's no substitute.
My main idea is that you project power by protecting the Carrier. If you have SSGNs and a smaller SSN fleet you can smoke conventional Battle Groups that pair CV/Ns with Destroyers and only 2 SSNs