Once when I was in graduate school a new tenured professor joined the department. In a kind gesture to learn about the new department he was joining, he emailed the graduate students saying that he was wondering what we think might be improved in the department and any suggestions we might have. I imagine he received many responses.
In my response I said that I thought the department could be improved by having the faculty debate each other publically. I said it was wonderful that Harvard had faculty with such diverse conceptions of philosophy (some Wittgensteinians, some not; some for whom Anscombe is a great moral philosopher, some not; some who value metaphysics, some not, and so on), but it was unfortunate that there is little open discussion regarding such differences. Often what people thought about their philosophical differences with their colleagues seemed to be conveyed by a raised eyebrow here, or a smile there, as if the differences had to be covered over by the veneer of collegiality. In my response I said that if there were monthly public discussions between the faculty about their differences, that would be fascinating. And that moreover it would have great pedagogical value. We tell undergraduates that they should disagree with their peers in a respectful way, and yet the faculty don't seem to model this, choosing to overlook in public their differences with each other, rather than be committed to engaging with each other in the hopes of making some shared progress.
My response was motivated by my persistent desire at the time to thwart the, as I felt it, "business-as-usual" attitude in the department. It seemed strange to me that faculty would travel the world to argue for their views and their conception of how to do philosophy, and yet treat the disagreements they had with fellow faculty down the hall from them as inevitable and irresolvable. I wondered: what would happen if the faculty spent even a quarter of their research time talking to each other publically (in debates and conversations open to anyone), and seeing if as colleagues they could come to some substantive convergence in their views? Or what it would mean if they felt unable to come to any such convergence, and kept disagreeing? Would that suggest that something in the mode of philosophical discourse we were pursuing was itself problematic?
Behind these questions was a broader question: could the mode of inquiry I was being taught in graduate school help to resolve the most pressing disagreements in society (between this and that religion, atheists and theists, Republicans and Democrats, etc.)? On the one hand, it seemed obvious that this was supposed to be the big deal about academic philosophy: that it was a mode of rational inquiry which could help with making progress on interminable issues which were dividing the society. Yet on the other hand, how could academic philosophy help make such progress when it seemed unclear whether it could even help make such progress between philosophical colleagues? Could philosophy help end wars when it didn't seem able to even bring two faculty members into closer alignment on their views?