By the gist of your posts it seems that your husband's renewed zealoutry isn't the only flash point in your marraige.
Clearly your child is hyper aware of the conflict between the two of you. A high conflict marriage is damaging to children, regardless of the cause. A child will lose respect for both parents if conflicts fester. Both will be tarred with the same brush in the child's eyes. Even if your husband is being difficult with you, or cranky with your child - your child is half of him. The child wants the conlict to end - the child wants peace and stability. Children do better in two happy housholds, than in one volatile home - provided the parents separate respectfully and maintain a composed approach to their shared guardianship of the child in the future.
Your situation has all the makings of a very acrimonous divorce: infidelity, emotional abuse (silent treatment, yelling, passive-aggressive behavior, disrespect of your thoughts and emotions, controlling behavior, coerced dogmatic viewpoints etc.), children and fundamentalist religion.
Very often people pour so much energy into their conlfict - as usually neither party will back down - and consequently parenting the child suffers immeasurably. How many months is it going to take you to plough through a bunch of antiquated JW literature to prove your point? Years can be spent on this type of emotional roller coaster, until the couple divorce amidst a quagmire of suspicion, blaming, disrespect and heartbreak for all concerned. Your child will resent both of you for not amicably resolving your differences.
Addtionally leaving the JW religion is a process that your husband has to accomplish by himself. The intense hold it has on a person's psyche will be difficult for you to understand, especially as you've not been subject to years of the religion's indoctrination. It does not sound as though he's even close to breaking away, rather his research may be a way of further entrenching his position against your viewpoints.
Marriage can be wonderful, but a high conflict marriage is hell for all concerned. It's the toughest of choices and you alone can decide wether it's worth any further emotional investment. If at all possible confide in a trusted girlfriend, parent or sibling, as you really need solid support systems. You sound exhausted! This is going to be a very tough time for you and your children. However, for the mental well-being of your child try to keep her out of your confilct. In the long run you'll both be happier for it.