You should be able to find a group of believers to meet with. Where I meet there is no 'church stance' on discipline or breastfeeding. We all do as how we feel led by the Lord. The mom's nurse in the meetings, the kids play quietly and we are free to decide how to discipline. Many of the parents expect their kids to obey them, but I don't see how that should be a problem for others who don't have that expectation. I think most parents use time outs and some use spanking as a last resort. But no body has ever told me nor was it said in a message to discipline a certain way.
I think AP has to do with the 7 B's. Birthing bond, baby wearing, breastfeeding, bedding close to baby, belief in the language value of your baby's cry, beware of baby trainers(feeding and sleeping specifically), balance (your needs and baby's needs).
What you seem more concerned with is whether you will be free to use gentle discipline without anyone criticizing you or preaching at you.
Pray and ask God to lead you.
BTW, I meet with what would be considered a protestant fundamentalist group.