I'm probably not the best person to ask as I have always run BFG KO/2s on my trucks but there are so many more options these days. My thoughts on this are, If your going to stick mostly on paved roads and well maintained dirt roads, P rated tires are fine. If you are going to be off-road with any regularity, you may want something D/E rated. It also goes back to uses (off road terrain, towing, etc).
To be honest though, lots of folks get along just fine in all kinds of terrain with highway tires. Having said that, my experience has been that tires are the most likely point of failure so....
I would check out the LX Picture thread before you do anything. Although it is primarily a thread for eye candy, it is also an amazing resource for LX specific topics:
Official LX570s Picture Thread