x2 on getting a normal (deep) socket of the right size. The T handle tool that Dicor provides is rather light-duty and in my experience liable to break if the wheel simulator nuts are too tight or rusted on or otherwise don't really want to come loose. If you use a breaker bar or similar for the lug nuts, it's just a matter of obtaining a different socket.
Maybe it's a well-known trick, but I learned by watching a mechanic that you can determine the actual nuts that hold the simulator in place (vs. the dummy ones on the simulator itself) by tapping them with a wrench handle or something similar and listening to the tone of the tunk. It's a lot easier than staring and trying to see which ones have the slightly different center.
