I'm happy to hear that you paid your taxes this year. I did too! Isn't it awesome? However, I've crunched some numbers and I have some bad news for you. Out of your $12 mil of hotel tax, only 1.4% percent goes to the SF Public Libraries. So that's $168,000. Divided by the 868 library staff, we have $193 per person. Assuming each employee works 5 days per week minus holidays, this is $0.78 per employee per day. Since that's significantly under San Francisco minimum wage ($12.25/hr), I doubt that your hotel tax can keep the libraries open more than a minute or two later.
However, had you donated that $8 million you spent fighting Proposition F directly to the public libraries you love so much, that could have made a bigger difference. Oh well. Hindsight is 20/20!
First update: Because this has spread so far so quickly, I'm getting information that this is a hoax (or political art) designed to produce exactly my reaction. In which case, it's very effective! I'm doing some more research now. But please take with a grain of salt! I'm not sure whether to be embarrassed or be kind of giddy at the speed fictions can travel in the internet age]