probably.
when Gaara went all out (one tail) he transformed into the sand tanuki. when kllerbee went all out, he transformed into octo-bull. so it makes sense Naruto going all out will bring out the demon fox.
as for the crazy madness berserk rage, I think it might not be be a property of the fox, at least not directly. Shukaku and octobull have bad tempers, but aren't destruction crazed. maybe it's because the ying-yang seal on naruto (which separated the good chackra from the bad, making the fox uncontrollable), or maybe it's a lasting effect from madare's sharingan shanningans. when naruto (and Sasuke, though I wish to forget that part) talk with the kyuubi, he's rather intelligent, and somewhat talkative.
maybe it's just that Naruto didn't have enough practice with Kyuubi transformations, but seeing how madly different killer bee is, I think it's something else. something more sinister and plot connected.