I think this will leave you all in first from LA to Hawaii won't it, as its a narrow body 2 class ac. You will have to change terminals in LA regardless of your carrier from London. Given that, I agree with Seth Levy, if youre paying, and its not too late, BA might be better.
Anyway you do it, it sounds like a pretty cool trip to me, especially for the two of you in FC. I have my gripes with AA but the FC suite seats from London to LA are pretty cool.