It doesn't matter who their leader is its not gonna happen bc they are Konoha's Strongest remember
.
Imagining that happens Neji would turn in his grave and shout "What The Hell Did I Die For!!!!
"
Oh yeah the strongest
. In what fantasy world does Hiashi live in.
Imagine if Hiashi wasn't in the IT while Naruto and Sasuke fight. Now imagine Sasuke yelling at Naruto that the Uchiha are the strongest to which Naruto responds with "No the Senju are the strongest." and as both of them charges towards each other. Hiashi jumps in with "You're both wrong. The Hyuuga are the strongest".
Both Naruto and Sasuke pause and Sasuke while looking at Hiashi, tells him "The what now? Never heard of you guys." and Naruto joins the conversation as well with "Well Sasuke and I don't agree on anything these days. But this time he's right. How the hell are you guys? You guys must be fodder." 

Which I've told you - time and time again - is dangerous! There will never be consensus, son, among those you have helped to ascend. They will all differ in their views of what it means to be free. The peace you so desperately seek does not exist.
These men are united now by a common cause. But when this battle is finished they will fall to fighting amongst themselves about how best to ensure control. In time it will lead to war. You will see.