In South Calzone faction forces are still moving around and generally avoiding conflict. The general populace isn't happy about the invasion. Cassian armies have been faced with limited guerrilla warfare from radical doctrinally Cassian zealots who don't identify with the Cassian Catholic Church, and from Dreibetungist and secular factions vying for power. Many smaller factions have condensed into large but decentralized groups, and others have fled to unaffiliated territory and become bandits, especially along the Argent-Dabo Road. The factions, as a whole are more focused on repelling the HN than infighting, but there is still quite a bit of it. Conversions have been low, as former Avalonian rule and the disliked Cassian former dictator left a legacy unfavorable to the Cassian faith. Politically, HN armies have had difficulty instilling influence that lasts longer than the presence of garrisons and has faced resistance to the collection of taxes and the passing of various laws designed to restore law and order.
In short, it's somewhere between what Syria was before ISIL rose to prominence and WWII occupied France, except that organized resistance is far more passive than in either of those cases.