I'm never very good with confrontation, but I do have strong opinions on breastfeeding. I always used a blanket, and tried to be very discreet, but even that is not required by law. Thankfully I usually found myself in nursing friendly crowds, and I was never asked to change my practices in church or any other public setting. For the most part I've found that other members in wards I've been in hold a similar opinion. If anyone didn't, it was likely they had never had children. I would respectfully hold my ground, although I don't really know the proper way to go about things should the bishop insist.
“Perhaps the greatest charity comes when we are kind to each other, when we don’t judge or categorize someone else, when we simply give each other the benefit of the doubt or remain quiet. Charity is accepting someone’s differences, weaknesses, and shortcomings; having patience with someone who has let us down; or resisting the impulse to become offended when someone doesn’t handle something the way we might have hoped." Elder Marvin J. Ashton