It's tempting to cut across solid stripes and gores in situations like this to get to the right side of the new merging lane ASAP, but I find it to be safer and more effective to control the rightmost lane before I get to the merge, and stay in that lane controlling it, until I'm to the point where the separation between my lane and the new lane is a dashed stripe (not a solid stripe or a gore), then I might merge right, if it's clear, or begin negotiation to merge right if it's not. Obviously, I will monitor for the status of whether it's clear or not as I approach this point, but I won't actually move right until I've passed it.
In all fairness to Caltrans, they put the new barrier inside a gore where no one, including cyclists, is supposed to be traveling.