Yep, that's a GameCube controller coupled with a slimline PlayStation 2. Did they even consider that the input plug for the GCN controller is almost the same width as the console? Wouldn't it be more of a hassle to, when searching for props, to instigate such a mash-up?
In the fictional family's defense, they weren't expecting the cast to walk through their door. Life Lesson #64: always have a console, with coordinated controller, handy for when bikers show up unannounced.
At least they're not holding the controller upside-down.