Well, I can only speak in generalities, but on the whole Japanese people love Bruce Lee, and he was a hero to young and old. I imagine they think the backwards-hakama thing quite silly, and it helps them relate the whole thing to a semi-fantastical kung-fu world.
As for Jet Li, he's also quite popular, and Japanese people would have even less to beef about in his remake of Fist of Fury, since it features two well-known Japanese actors (Kurata Yasuaki and Nakamura Shinobu) playing sympathetic Japanese characters.
Josh Reyer
Swa sceal man don, ţonne he ćt guđe gengan ţenceđ longsumne lof, na ymb his lif cearađ. - The Beowulf Poet