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Join Date: Feb 2001
Location: Berkeley, CA USA
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Welcome to FT, NeoRaven! Your layover of 2:12 at SFO is plenty of time for your connection, especially considering that you will not be going through Immigration and Customs. You will arrive at International-G, but you will exit the plane in the main departures area, just as though you were coming in on a domestic flight (a few USA airlines operate their domestic flights in the International Terminal).
Making things even easier for you is that there is an airside bridge between International-G and Terminal 3. As you face the security exit (don't go out!), look to your left and you'll see the sign for Terminal 3. You will not need to go through security. (I'm assuming that if you have any checked bags, you can check them through to SLC in Dublin; if not, you'll need to get your bags at the carousel, re-check them and go through security at T3.)
Safe travels.