I think my Gul Macet has enough of politics and diplomacy after dealing with Picard.
No, he didn't participate in politics at all, just a soldier.
There were three big political forces on my Cardassia: The Reunion Project, the Directorate and the Mar'kuu Group. The first one very civilian and in the end too pro-Fed, the second too much set in the old ways and pre-war Cardassia, and the third one that tried to be in the middle and pose a the "reasonable ones." Smaller groups didn't have any real influence and those three groups were searching for supporters all around.