If you need to take a left turn, yes you should turn right, i.e. go counterclockwise around the obstruction. I'm pretty sure almost all cars will do that, though I've heard that delivery drivers sometimes don't; a lot of bikes won't bother.

Here are Street View images of similar intersections, also in Berkeley. 
1. https://www.google.com/maps/@37.8730555,-122.2956835,3a,75y,250.31h,74.9t/data=!3m6!1e1!3m4!1smLP9CDmzVbyDxUDXAAON0Q!2e0!7i16384!8i8192?coh=205409&entry=ttu&g_ep=EgoyMDI0MTAxNi4wIKXMDSoASAFQAw%3D%3D . The sign does say to go around to the right, and it's designed to not let you drive over it. On OSM, it's not called out at all. (Ninth and Virginia.) But it's much smaller than the one I want to add.
2. https://www.google.com/maps/@37.8597735,-122.2645179,3a,75y,77.29h,90.4t/data=!3m6!1e1!3m4!1sY-hZ4jsdWG6cMpofNK7CKA!2e0!7i13312!8i6656?coh=205409&entry=ttu&g_ep=EgoyMDI0MTAxNi4wIKXMDSoASAFQAw%3D%3D . This is more like what they're building on my block. It's marked on the map (Ward and Fulton) as a one-way residential road. I see that the tag list says "junciton" in column 1 and "roundabout" in column 2, so maybe that's the answer to my question. I don't know if the circular roadway gets automatically drawn with those tags or what.