"our" poskim vs. "their" poskim?

A certain Rabbi writes on his blog that other "movements" have their poskim, past and present -- Rav Moshe, Rav Henkin, Rav Kook, Rav Aniner, Rav Asher Weiss, etc. (his examples) -- and he raises the question of who the leading posek for modern or centrist orthodoxy is since the passing of Rav Soloveitchik. B'mechilas kvodo, with no disrespect intended, I don't understand the question. Are achronim and gedolim to be defined by their belonging to a sociological or political faction and accepted/rejected on that basis? Is ideology now to be a determining factor in whether psak halacha is valid and authentic? While gedolim do not always share philosophical outlook, hashkafos, these differences do not effect their psak and should not effect our acceptance of psak any more than a mathematicians leanings in the realm of theory has an effect on the results of an equation.

I am troubled by this type of dialogue that emphasizes separateness -- our poskim vs. their poskim, our mesorah vs. their mesorah -- instead of the commonality of torah study. It’s one thing to dismiss it in the blogsphere, it’s another thing when even Rabbanim start speaking in those terms and accepting this imaginary dichotomy as real. Rav Moshe (for example) was not the posek of a particular community -- he was the posek of klal yisrael, just like R' Akiva Eiger, the Noda b'Yehudah, etc. The legacy of these poskim does not belong to a particular niche group or faction, but rather to every person who identifies as a ben torah, whether he be chassidic, litvish, modern orthodox, or religious zionist. That is not to say that one must follow every psak of R’ Moshe -- one does not follow every hora’ah of the Noda B’Yehudah. It means respecting the psak and ideas of gedolei hora’ah as relevant to one’s life, as worthy of study and consideration.