It'd be cool if government buildings were used more, at some point I want to hold events in the Guldorand one. But I don't think requiring people to live in these spaces will do that. These aren't guild houses and don't function like guild houses. They're ephemeral. In places with frequent elections like Guldorand and Cordor, in 30 days everyone who moved in may find themselves homeless. A lot of the quarters are also really underwhelming, being like inn room quarters except a lot more inconvenient to access.If you own a guildhouse with empty quarters, you should be actively looking to fill these and not letting them sit open, even if there's only two internal quarters and you own one of them. This also goes for properties that serve a political function, such as the district guildhouses in Andunor, barracks in various surface cities, and the large auction properties such as Darrowdeep and Gloom. If you/your faction don't have the time to fill these properties, you should let the property go so someone else can have a chance at filling it. This requires an ongoing process to keep rooms full, and if the guildhouse houses a faction, then faction members should seek residence in the guildhouse before looking for housing elsewhere.
I don't think running a government should have property tied to it other than the ruling faction being able to access the government building. Turning government building properties into empty rooms without anything in them might be nice, so if people want to do themed rooms they could make them.