Personally I don't think breastfeeding is strange.
What I do think is strange is the weird power struggle between those who breastfeed and those who don't. Who really cares what you do with your child, even if it is different than what I do with my child?
Of course that's not only breastfeeding, it is also feeding solids, sleep, parenting philosophies, and on and on and on.
You want to breastfeed your kid? Great! But if someone else does not want to breastfeed their kid, then they shouldn't get grief for it either. You want to formula feed your kid? Great! But if someone else does not want to formula feed their kid, then they shouldn't get grief for it either. No one is a better mother nor are they making a better child for choosing one or the other.