10 days is too short (that was the length of my trip) but I wouldn't pass up those 10 days for anything!
While I found Tokyo to be a general pain in the @$$, I don't like NY either!
I wouldn't necessarily say to skip it though. I think it is important to understand both where a place was, and is...and Tokyo, like or it not, is Japan, as much as it is not.
Ron (personally, I really like Nara, Kyoto, and the area where the pearls come from whose name I can't be sure of any more...Mikimoto???)