Are you an actual professional pilot? Turn final without permission on an international airport like LAX???
Some international airports (Paris CDG for one) publish notes specifying you do exactly that: in CDG you turn on final automatically if on a vectored heading within 70˚ (if memory serves) of inbound course, provided you were previously informed you were being vectored for that localizer and you can't get a word in edgewise.
However in absence of such specific local rules, I would be very wary of wavering from any clearance in such a busy environment... you'd
certainly get LAX APP's attention though, can't argue with that
, but I don't think it's the kind of attention you'd be happy to get
.