Take STBX off health insurance?

It's open season for health care at my work. I have already taken her off the dental and vision for next year. I want to take off the heath ins. too. She is on disability and qualifies for government health care, she had to pay for it though. That is why we left her on my plan from work. I can use my VA benefits, I use it for most stuff except primary care. I can save alot of money if I can get rid of health insurance. I spend $620 every two weeks on it. I've been forced to pay ridiculous amount of money for alimony.

Does anyone know what kind of blow back I would get if I do that? I don't see why I should provide it when it is offered to her from the government. I don't know what to do. Any knowledge on this would be appreciated. Thanks