I think the word "Politics" can mean many things....in it's purest form, it describes the relations between persons or groups of persons, though we use it these days to mean, mainly, the practice or profession of governance of nations.
I think that politics is inevitable in religion, because "religion" is an institution and all human institutions are comprised of people and their relations. Not only that, but politics can also be said to deal specifically with power and authority, control. It takes no imagination to understand the relevance of "politics" of this sort, in any institutionalized religion. In simplest form, the Guru/Disciple relationship can be said to be a political one.
In fact, the creation of "new" organizations, from bifurcations or differences of doctrine, belief, or practice, is a political maneuver. You should know, and understand, this, in your own organization.
Having said that, I'm a firm believer in the Seperation of Church and State, both here in the US, and as an ideal throughout the world, and I am happy, and guardedly optimistic, to see Tibetans In Exile move away from a quasi-feudal "Dharma-cracy" to a representative Democracy. Nonetheless, political forces will continue to operate in the institutions of Tibetan religions, just as they do in all institutions.