Sure, you're not burning a ton of fuel a minute plowing through dolphins and kelp, but you still need to generate power to operate all of the on-board facilities such as electricity, plumbing, elevators, etc. Would the city allow an entrepreneur to run a fat power cable onto a sitting ship - leaving aside political implications of a big honkin' vessel blocking the ocean view, are there even any regulations written for it?
Based only on what I've read of jwz just attempting to put a door in a nightclub wall, it seems that a hostile takeover over San Francisco, followed by some summary executions of most of the city government and a formal secession from the United States of America would be easier.
If you plan ahead you can pipe the LNG throughout the ship for cooking, and maybe even heating.
You could also build a better power plant on the ship, but that's not free, either.
Buying existing liners, rafting them up and retrofitting would seem like a more achievable aim in practice.
You could probably get some off Costa at the moment for less than the market rate.