...shaking and was at a very low rpm.? It doesn't always happen, but it has happened twice in the last 2 days. Every once in a while it just dies.

My CL started shaking at idle and died yesterday. It would start and keep dying, I googled the symptoms and they match the symptoms of a bad ignition switch. I was able to drive it home by keeping a slight turning pressure on the key. I replaced the switch today.