They were also funded by nations. Navies existed.I suspect that those things existed, and were doing their jobs, well before they got put under some organizational umbrella of unrelated things.
Every state with a shoreline having its own separate Coast Guard you mean?
Or maybe they could agree to have one such service for all of them, and all contribute funds for it? How about that?
I agree that modern government is bloated, and has lots of people doing things that either could be done better by private industry - or better still, not done at all!
But rescuing people from sinking ships in a storm is not one of those things.
If you ever notice though, private navies did what they wanted, and if it meant ignoring someone sinking...
Private means competition and that means fuck everyone but your profits