LOCAL governments? Well, the UCAS is pretty clearly a federalist state. The local governments have little, if any power, except administrative duties. They'll have a tiny local police force, maybe a national guard unit, branches for registration & inspections, treasury, forms & census, welfare & benefits, and probably a few other odds and sods - with much of those actual duties off-shored to corporations who can do it for less. The DMV is almost certainly corporate-run behind a government front. It's understaffed, the fines and fees are ridiculous, and it's hugely inefficient - but it makes money. The local government would only manage the actual administration level of this administrative public service. I imagine 50% of local government employees are contractor specialists

The CAS is very different. The CAS is clearly an anti-federalist state, and strongly anti-corporate, so the state and local governments are quite strong. They'll have substantial legislative, executive and judicial duties, and do a lot more of this work themselves. I'm sure it's still inefficient as all get out, but at least you know they're not paid to be inefficient.
A place like Atzlan, the local government is probably like the local government in the USSR - government by cronies, where everyone is either a friend of, or desperately afraid of, the federal government officials. The line between the two is basically just one of terminology.