Originally Posted by
djmp
Ouch! But seriously - I keep missing this stupid connection - it's after customs, right?
Yes
The sequence is passport control, pick up luggage, pass thru customs, usually redeposit your luggage (has to be tagged to final destination), then go thru security again.
Am not an expert at LAX, but happened to do my Global Entry interviews there and noticed that sometimes security lines were terrible at one UA check in area and almost non-existent at another. If you see a bad security line, might be worth walking outside and see if line prospects seem better at another UA check-in area.
It can be really fast, once used GE for return, my priority checked bag was delivered to luggage claim area a moment later - could have been thru in 10 - 15 minutes.