You, your husband and daughter are a family unit and as parents you have the right to decide how your child is brought up. You don't say specifically what the parenting arguments were about. This may be a case where generational attitudes and nobody necessarily is 100% right and in a quiet moment you may wish to think about whether they merely have your daughter's interests at heart, rather than dliberately trying to be difficult. After all, they have many years experience of parenting whereas you and your husband only have two years, so try to step back a little and think about why these arguments have occurred.
Having said that, your parents have to accept that when you married, your personal loyalties changed and took a different priority. Whether they like this or not, they have to accept that this is the order of things. Grandparents do not currently have any specific legal rights. You will all be the poorer if they refuse to acknowledge your husband, and you refuse to let your parents see their granddaughter so perhaps you could point out to them that their persistence in following this course of action will only split the family apart..