I commute into Berkeley and S.F, regularly. Never see the kind of cold you experienced, but it is chilly and damp in the winter. I have a CeeBailey, but either of the screens you mentioned will help, as will the new Madstad Lowers. I don't use heated grips, but I wear glove liners from Freeze out, and I have a set of guards that I got off of Amazon. Both help. Freeze out also makes under jackets and long under pants. This is the time of year that you can get them at a bargain at Cycle Gear. Make sure that your boots are waterproof. S.F., doesn't get a ton of rain, but there are a lot of foggy mornings in the winter, and fog seems to penetrate most regular clothes.
Riding into and out of The City is the reason I started riding after many years of lay-off. I left a client on Potrero Hill one afternoon, and it took 1&1/2 hours to go the 3 miles to the Bay Bridge in my car. That's a regular occurrence in S.F., and with the bike I can do it in 15-20 minutes. Same thing in the East Bay, or down in San Jose. It's 158 miles from San Jose to my home near Sacramento, and that's a 5&1/2 hour drive in a car most afternoons, or 3 hours on the bike. You'll see a lot of other bike commuters in the area. Just watch out for the "organ donors" on sport bikes, splitting lanes at 70mph. You don't have to do that to enjoy the benefits of MC commuting.
All the best,