Strange, I did the states via Japan as well in August last year and back and Australia via Japan. While I was there I saw heaps of Skylines, and took many photos too. mostly R33 GTS25t's and GTR's, saw hardly any R32 GTSt's but alot more R32 GTR's and quite a few R34 GTT's and a couple 34 GTR's.
Saw a couple Stagea's and one was a Autech 260RS. I had lots of fun just looking at all the cars.
I have never had any problems with the police and my Skyline, even though I have done my fair share of weekend night city driving. (Although I dont drive through the city like an idiot so cops havent picked on me)
Anyway welcome to the forum.