I'm a little worried too. I'm not flying to the US til August, but I've got 3hrs coming off NZ 6, and I have a 3hr window to get to a VX service. I've had no issues in the past but I've only ever transferred from Delta-Delta, so I'm guessing that's not the usual experience at LAX.
Was wondering if it's worth paying the 20 USD for the faster lanes, but I really have no idea how security is right now at LAX.