Having lived all over the country and having to deal with a variety of State and local government services, I think Clark County has cracked the code. Contrasted with the Nevada DMV (probably the worst of any state I've lived in, and I've lived in 11 of them since I started driving--yikes!), the Government Center is a dream. Lines don't exist or are usually very short, and the people I've dealt with are always pleasant and helpful.
The location is great: centrally located and very easy to get to, and there's lots of parking. If you're there around lunchtime or at the end of the workday, it's very easy to finish your biz at the Center, then roll right into the Arts District or Downtown LV for a bite to eat or to meet friends at your favorite restaurant or bar. Feel the need to shop after your visit to the Center? The outlet mall is right there too. And the Discovery Children's Museum and Smith Center are close by as well. If you're a fan of First Fridays, they make their ample (and free!) parking lot available. Park your car at the Government Center and take the free shuttle over to the First Friday fun and games.
So don't dread a visit to the Government Center. It's truly a good experience when you discover you have to take care of your government needs.