I wouldn't say it was political so much as ego, although that plot line would have been a little more interesting if the reason Chuck went after Jeffcoat was a little less black and white. The S. District NY AG is an incredibly powerful position, so that part of the story is not that unreasonable. I believe Giuliani was one, and under normal circumstances, firing Preet Brahrara would be a very big deal.
Both Axe and Chuck are very self destructive, which is fun to watch this season. They are both going down roads where they will end up in way over their heads.