WOW! I can semi relate to your father, GR8MOM, my dad too was a bit of a control freak when I was little. Then as he "matured", lol, he ended up having some serious heart attacks, became a born again Christian and went full throttle bible thumping (I say that with no disprect to Him above, just the least amount of words to thoroughly get my point across to you all). And though there were times the control freak father side him came out, and he was really into preaching the Word, he was also very responsible with his faith. He didn't go all crazy with it.
The best fight against your father's position of "power" and authority and manipulative ways would be to "fight him with his own sword".
So, you wanna take in your sister - well she's got what, 3 years still she can leave without his permission - from now until that point if your father doesn't allow it, and then at that point she can go on her own - tell your father he best go pray about it - about EVERYTHING - he must pray and wait for the Lord to answer about EVERYTHING - and you remind him of that. Your father was not given powers over and above anyone else on this earth and he is to seek out Father, Christ and the Holy Spirit. Don't let his religious intelligence intimidate you or your sister.
People who gain energy from being in control of others are only looking to take that energy as they have exhausted all their own. When you remove all your father hides behind - his ability to intimidate, his religion, his social status, his community reputation etc. etc. - he's a man with much hurt and misunderstanding and he too needs someone to understand him - so, love him, but don't succumb to his bs!