Hi,
I have never had a queue in front of me ant Immigration at LAX T2 when the early VS flight 007 arrives (3pm) or KLM flight (2pm approx).( flying PE/UC/WBC)
The TBI terminal( ie main international terminal incl BA) is a diiferent matter and I have had to wait around 20-30mins.
Hopefully no matter where in PE you are you will be amongst one of the first off and as long as you walk failry quickly ( so the Economy people do not overtake you
) you should clear Immigration with no problem.
Good luck!!
Regards
TBS