Here's an idea: what if every hospital maternity ward asked every new mother: "Do you want to breastfeed, or would you rather we feed your baby formula? The choice is up to you." Then if the mom said, "Feed my baby formula," the hospital would say, "Sure. Here are some free samples. You just have to sign this waiver first." The waiver would go something like this:
I am aware that by choosing to feed my baby formula instead of breastmilk, I am increasing his risk of dying of SIDS, lowering his IQ, increasing his risk of contracting diseases in infancy, increasing the severity of those diseases, increasing his risk of diseases in adulthood, increasing his risk of allergies...[We'll have to work on the exact wording here, since there are just so many risks to formula feeding, we have to pick and choose lest the waiver be too long.] I am also aware that by not breastfeeding, I am increasing my own risks of breast cancer, ovarian cancer, endometrial cancer, uterine cancer, osteoporosis, rheumatoid arthritis, and obesity.
If my baby or I becomes sick or dies as a result of this hospital feeding my baby formula, I will not sue this hospital.
Psychology studies have shown that people will make the right choice when it's the default, and making the wrong choice requires checking a box. If people realize that breastfeeding is the normal thing, and formula is dangerous enough to require a waiver, they might be more likely to make the right choice.