Use of Time wrote:

Except that the Coast Guard doesn't fight full scale wars like the Dominion War for example.
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Wrong.
During wartime, the USCG is attached to the Department of the Navy. At least it was in '88-'93, when I was a Petty Officer. Nowadays, it's under Homeland Security, so I'm not 100% sure it would still be attached to Navy.
When I was a Coastie, I actually wrote an article for potential submission to a Trek fanzine doing a comparison of Starfleet/USCG.
Unfortunately, I don't think I can find the 5.25" floppy the article was stored on.