Actually the night-time opposing direction operation is, of course, completely safely managed, inbound aircraft are usually landed on the north side runway pair (6L/6R), with a long straight run in over the sea, and departing aircraft leave from the south side runways (25L/25R) with a left turn at the coast to head away and south. There's plenty of separation between the parallel runway groups for this (a mile) and it's more straightforward than, for example, the intersecting runway operations at Chicago O'Hare, Boston or wherever. However airlines will have a tailwind limit which they cannot exceed. LAX has good long runways which helps with any higher landing speed.