Like others have said, go ahead and study with your Dad but subtly bring up questions pertaining to your doubts during the study. Whenever a scripture is quoted in the paragraph, ask him to read it along with the surrounding verses and to explain to you how the context in which the scripture was written, applies to today. Be prepared in advance to know what scriptures will be used and what the surrounding scriptures were originally talking about. Sometimes in the process of trying to explain things to others, people become aware of how lame their explanation is. You don't have to refute anything, just let him listen to his own words. That way you let him save face and he won't get backed into a corner and have to stick to his guns even if he sees the flaws in his own logic.
I'd also ask your Dad why you need to study a book and can't just study straight the Bible together, after all, Jesus didn't study books with people before he baptized them. Where in the Bible does it say you have to study books and answer 2 questions before getting baptized? Don't try to refute what he says about this, just listen to his answer.