Its not a compromise at all. And frankly, Im not the one trying to impugn a mothers virtue for feeding a baby, so whos it really all about?
Sure, you can have a different opinion, but when you pull accusations out of your poop chute to malign those who wont submit to your parochialism I see little difference between you and a muslim.
There are multiple ways to feed a baby, and modesty certainly does NOT mean forcing the rest of society to adapt to what you are comfortable with.