Insurance companies will almost certainly come after you.
You have multiple issues here. First of all, you may be criminally charged for driving without insurance. Your penalties can include a drivers license suspension, hefty fines, jail and probation. You need a lawyer for this.
Second, the insurer will want all their money. If you don't pay, they have two great tools. They can sue you, and they can also suspend your license, FOR LIFE (until they are repaid).
If the damages are large, in some cases a bankruptcy can discharge the debt and prevent a license suspension. A good lawyer in the criminal case may also be of help in reducing some of the consequences. He might even save your license.
See a lawyer now, and don't wait for all this to hit you.