Alistair's kingly quality can be directly assessed in DA2 and the comics. Really, though, I think that all this will be irrelevant. I certainly hope it is, because I have no interest in Fereldan noble politics; having to deal with Orlais' crap will be quite enough.
The Inquisition may deal with Ferelden politics to the extent of gaining approval to establish bases of power in the region, and perhaps an elven Inquisitor may address the law prohibiting a person from killing a human in defense of an elf, as well as the Hinterlands situation (for players who chose the Dalish Boon).
For players who chose the Dalish Boon and are playing as an elven Inquisitor, I can imagine the latter would be a contentious issue, given the apparent loss of the region. It might impact options in Redcliffe since the region is currently part of their territory.