Last I checked most of the Japanese reissues were basswood; just some of the higher-end (and higher-priced) ones, and the 65s, aren't. I could be off, too lazy to go look, but I know when I was looking at comps there they were basswood. This was less than a year ago. After shipping and (possibly) import duties, this will be damn pricey.
But the thing to remember is that Cobain played Japanese 'stangs. A lot of people played Japanese 'stangs.
Now, if I were you what I'd probably try to look at is finding a used KC 'stang, in the LPB/comp that you want, and just refinish the headstock if you prefer. The savings on getting it used will help offset the refinishing, then any electronics stuff you want to change up you can do yourself. Might take a little patience, but those things will be around on the secondary market. There are already some out there to be had, but there will be more before long. Get something used that already has the first ding out of the way, too, so that you don't feel bad about making it your own and altering it any way you please...also, so you don't worry about gig/road damage. Then just enjoy it.