Unfortunately I believe they will make the argument that you shouldn't have been driving in the first place. Of you weren't then there would not have been any accident. I bet this is what they will say. I know it stinks, especially since it was the other drivers fault.
The fact that you didn't have insurance has nothing to do with whether the other driver is at fault for your injuries and damages to your car. Your damages are due to the negligence of the other vehicle, and its insurance company will normally pay. However, if you are in a "no fault" state it may be more complicated. Without insurance, you have no one to stand up for you if (probably when) the other guy's insurance denies your claim. You will probably need a lawyer, which will cost more than insurance would have.