LHS, Welcome to the forum. You and your family have been through a lot. You are starting to see that their claims are not aligning with reality, reason, and logic. You are being intellectually honest with yourself. This is what happened to me as a teenager.
I think you have a number of valid concerns. Your first priority should be to the protection and well-being of your family.
If you are thinking of taking a month off, DO IT. Maybe take that time to research the religion, for starters. Researching the history of the Bible is probably not a bad idea either.
Good luck and let us know your progress (if you want).