from the title I assumed that this might have some furry elements to it. because a Pride is a distinctly animal term. it doesn't really translate to a group of humans quite as well. even if they are more instinctual, to call a group of humans a pride tend to suggest some animal characteristics in the physical sense.
now if that is indeed the case then I applaud your ingenuity and look forward to seeing it. if not, well you might want to reconsider the title as it is a little misleading. the only reason the word Pack works for the Inuzuka is because of their physical similarities to their canine partners. they literally appear as if they are part dog. and thus the term pack does indeed fit in that case.
so again, to truly be called a "Pride" requires some furry aspects. even if its just the cliché Hanyou traits we see in Inuyasha and certain Naruto fics. namely the ears, eyes, teeth, nails, and the addition of a tail and enhanced senses and physical capabilities...
actually that might be an interesting story to write, ill have to consider that for later.