both of them are fake .....
you want pure badass? mugen in samurai champloo , afro in afro samurai (for this latter the fact that the seyuu is samuel jackson is a good hint of this : jackson is the typical badass character .In Star Wars He even made engrave on his lightsaber " BMF "badass mother fucker"). Those two are VERY easily pissed off, thrill in fight , don't talk much but talk big.
there are a lot of really chool character out there that aren't exactly badass : alucard , spike , etc... I love them but they're different and yet they're closer to the badass model than Ichigo and Naruto .
So don't give this nonsense about Naruto and Ichigo .
Ichigo and Naruto are way too nice , talk too much to be called badass.They don't even know how to kill for God's sake! (in Bleach it's more likely for a character to die out of starvation than in a fight anyway)