I'm not sure if RX right-hand drive is imported to US. Nissan Skyline GTO is the only right-hand drive Japanese car that I heard of in US. You may have a better luck finding used RX400h in UK, OZ, or NZ. I used to be US expat in Japan for 8 years. We used to see families from those countries taking their car with them when they finished their assignments.
On car transporters, you may want to research the web for the best deal. One of the biggest is Nitssu or Nippon Express. They should have an office all around the world.
