Unlike some people, I like the anime. Filler or not, it's my only source of NaruHina here in the U.S. I don't really care about the manga, BTW, I just like the anime.
Still...there is the fact that Hinata belongs to a bloodline, whereas Naruto does not...sadly. If Hiashi gets the "bright" idea to have Hinata make babies with NEJI, of all freakin' people, well....let's just say that he won't like MY end result....which involves beating him to death with a lead pipe before he can lead the "engagement". Ugh...mental imaging is sometimes not a good thing.
Buuuut.....Hiashi's been known for not following the clan rules. For instance, he went against the clan's tradition of letting destiny take its course by sending Neji's father (I HAVE NO FREAKIN' IDEA HOW TO SPELL HIS NAME!!) get sent to an execution instead of him. Plus, there's another instance of him defying clan rules by training Neji, when the rules state he should train Hinata. Either way, there's a chance, albeit an incredibly small one, of him letting Hinata go with Naruto. Seeing as he doesn't care what happens to Hinata at all, and considering his "habit" of defying the rules of his own clan, I'd say there's a chance (again, a small one, IMO) of him....get this.....actually letting Hinata get into a two-sided relationship with someone OUTSIDE the Hyuuga clan....namely Naruto. But, that's just my opinion. Feel free to discuss the possibilites of this, though.