You all may not care for my solution but how about sending her back to her Mom . (if possible) My girl freind had the same problem. The girl got sick (not physically) of her irrepossable mom and the father missed her so much that they saw my freind was right. She unfortanatly had to threaten to leave him if he didn't send her a way. The girl did realize that my freind loved her and told her she was sorry. Also did to the sibling too.
It's not fair for you to have to be the "bad cop" it is also not good if the other kids are seeing how they could get away with this stuff too. I wouldn't let her get her permit(how much farther will she roam to get in to trouble?) Keeping that right of passage is a reward not a right. If she's treating you all so bad ask your self why would you want to reward that bad behavior.
Sorry I sound harsh but after seeing freinds and relitives go though this stuff I have held to many crying freinds .
Hubby having a step dad says if they had pulled any of the stuff you have told us about he'd have been dead meat and NEVER gotten a license living in the family home.
Just my veiw point take it for what is worth.