You're playing with a lot of fire there, in that this map creates a decent possibility of a 6-0 GOP LA delegation (especially if Obama is reelected), since come 2012, we go back to the old system of jungle primary night on election day and runoff afterwards.
So, how does the court handle a jungle primary with the requirement that the minority has the opportunity to elect a candidate of choice? The court has removed the threat of challenges for maps that provide rough proportionality for such opportunities, the lack of an available district that has a majority of the VAP for a single minority, or the lack of different voting behavior between the minority and the white majority. The court has held that a district need not guarantee the specific minority success - note that Cao won in LA-2. If a minority thwarts itself in an open primary by running multiple candidates, isn't that still an opportunity even if missed?
You seem to think that the DoJ will play hardball at every point, which is not that ridiculous of an assumption given who runs things. So there.
However, one wonders whether they would push hard on weak cases, thus giving the USSC greater leeway to strike them down and deliver bad precedent. After all, 32% is not 33%, last time I checked. And last term, USSC indicated that section 5 preclearance is not long for this world. Moreover, the "big" court has not exactly indicated hard and fast rules for everything (if much of anything), and has not exactly been inclined to strike down districts that made it past lower levels.