I wouldn't send that message.

Don't you have an attny? If so provide her with the name and address of your attny so the papers go there. If you don't have an atty get one.

I would say something like this:

W: The contact information for my legal counsel is <insert info here>. Any documents pertaining to the divorce should be sent directly to him/her.

If you choose to rip up the insurance card that is your choice however it does not remove you from my plan. Your options are as follows: obtain your own health insurance plan in the next 10 business days so I can remove you from mine as per company policy OR contribute to the monthly payment until the divorce is finalized. Which do you prefer?

And, I see no problem in letting her know your legal counsel is already aware of the actual date of separation.