I'm guessing because it is easier not to. It would take work to file, and money. So, since he doesn't have any pressing need to not be married, he is just letting it go. He might even be trying to back you into a corner so that you'll file. Then you can be the "bad guy".
Try to detach your emotions from him, Treese. I know it is hard, but he doesn't care about your emotions, he isn't interested in protecting them. You need to take care of them without him. In a way, the same as you are taking care of the kds without him. I know it isn't what you want to do in the long run, and you won't have to. But for now, you need to do it!