I was in Japan last month, and the only major league hats I saw on people had a Yankee logo. A few recognized my Cubs hat and talked some baseball through the language barrier. Basically names of Japanese major leaguers.
I bought a Yomiuri Giants hat, mainly because it was $10 cheaper than the Chunichi Dragons version, and it had the most distinctive logo. The Dragons jersey has Dodgers colors and script, except there is a beautiful dragon embroidered on the sleeve. Cost way too much to consider.
I doubt much Cubs stuff will be sold over there because of Fujikawa. I didn't see major league paraphenalia in any store.