The US Naval Institute Proceedings has a short article about the history of a concept that originated in the Coast Guard more than 20 years ago.
Seemed like a good idea at the time. Still does, but not a lot has come of it. A good idea that has languished due to various parts laziness, inertia, fear, jealousy, and arrogance.
If this is ever going to happen, it will require Congress to push the idea.
An important first step would be to include Coast Guard ships in annual count of “Battle Force” ships that the Navy puts out. It currently includes unarmed MSC ships, including ocean going tugs, so National Security Cutters and Offshore Patrol Cutters would not be out of place.