Surely the city could find a series of roads that could be made into one-way streets, and have segregated bike lanes on the other side?
Two, the traffic density and management is crazy here. So many traffic lights and stop and go traffic. Major streets are constantly crossing other major streets, which require long stops at lights while the other major street moves through. Riding a bike in the area is especially hard, because you are constantly having to come to a complete stop, wait for 3 minutes, and start again.
LA needs to do a better job of balancing pedestrian and motorist interests. With more and more people abandoning or at least de-emphasizing cars, I hope and expect this balancing act to happen sooner rather than later.