To add to what AS said I would stop doing things together as a family. It help with detachment and it gets the kids use to doing things separately. Also, you need to stop trying to use logic and reason with her and validate her feelings.
It's very typical for the WW to drag their feet with D papers because right now she is getting the best of both worlds. She's living the single life and getting the comforts of the family life. Especially because the LBS is trying to placate the WW and turning into to super spouse and doing everything around the house.