As an adult who as a teenager behaved in a similarly selfish, dramatic and manipulative way myself (quite a bit) I think blythe speaks a lot of sense in her post above.
Honestly, it was only when my parents stopped engaging, stopped pandering to me, and made my own emotions my own responsibility that I actually started hearing myself, and what a totally self involved, immature twat I was.
So OK she wants to do certain things and get lifts, and have friends to stay in the family home, and have a rocking social life that you must at least partly fund and enable? Then she needs to treat you in a civil manner and contribute to a harmonious home. Have a family meeting and talk about a family contract for how you can all live together happily. All of you agree about behaviours you find unacceptable (let her talk about yours and DHs, and listen).
Make it clear though, that if the behaviour happens and she's a drama llama slamming doors, and being horrible, there's no lift, no £20 for the night out, etc. Be really calm about it, state the case and walk out of the room. If she's smashing up the place, make it clear she'll be paying for any damage, and leave the house yourself (sit in the car round the corner if that's what it takes). Disengage. Then get a quote for the damage and make her pay for it in sacrifice of pocket money and/or her Saturday job. She'll soon think twice about a repeat. Make her take responsibility for her emotions and the actions they lead to. It'll probably take a while for her to stop trying the dramatic tactics that have worked until now, so it'll be a hard road but who else in life apart from you and your DH is going to stand by and let her have what she wants when she behaves like that? It's a lesson she needs to learn.
But if you are going to make your daughter's emotions her own responsibility, you also need to give yourselves the same advice. Your DH has the power over his own reactions to her behaviour (unless he has unmanaged mental health problems, which I haven't quite caught? In which case he needs help and therapy to get strategies to manage his reactions). It sounds rather like she is being blamed for destroying your husband, but you are the parents, the adults and the ones with decades more life experience at your hands to find solutions for the reasons why he is "breaking". Don't make it her problem, she's your child. Making her feel responsible/blaming her is just wrong. I think it might be part of why she's kicking off like she does. It must be really annoying and feel unjustified to be made responsible for her dad's issues.
I do think though if you are giving her the responsibility/burden of being left alone in the house at night, then you have to just trust her and meet her half way to have a friend of her own to stay so she has some company, or you need to arrange for a relative or friend of yours to stay over with her so she can go out and come home and you're not worrying about her, but not insisting she stays in alone. I don't think you can have it both ways.