Although I am now 30 years old, I'm going to answer this from a teenagers point of few.
My mother was laid back and let myself and my brother do pretty much whatever we wanted to as long as it wasn't illegal, or harmful. My father on the other hand was strict and didn't let ME do anything. I made good grades, and helped keep the house clean, but I still couldn't do anything if I asked when he was around.
I soon began to rebel. I didn't clean anymore, I wouldn't come out of my room, and the only time I was happy was when I was at school. I finally started sneaking out of the house. I would leave as soon as I got home from school and wouldn't come back until 10 or 11pm. (I was just hanging out with my females friends.) When I would come home, I would hear about it from my mom and my dad, and didn't really care. As long as I got out of the house.
The few times I did ask to go anywhere, my mom was caught in the crossfire of my dad and I. I must say the house was quite a mess. I look back now and wished I hadn't of acted like that, but I the time I just wanted to hang out with my friends.
If your husband won't budge on letting your daughters do things, get ready for things to get ugly. From personal experience, they will rebel and more than likely, they will win. Let him know, from a pre-woman point, that she isn't going to do things she shouldn't do unless she feels like she needs a man to understand her. Most girls with a good relastionship with their fathers don't have sex and babies at early ages.
I hope this helps, and please have your husband read this. Maybe he will be more willing to take advice from someone looking in. And please understand, he should be strict. Boys and girls grow up so fast these days. But there has to be some trust there, or else their relastionship will only begin to fall apart.