Yet this isn't seen as a problem?
Look, whatever you decide to do with your nanny is up to you. As a parent, it's your prerogative to make these types of decisions.
But do you really think you can control your child's environment to that degree? As she gets older, she'll hear things everywhere she goes. At the playground, out on the street, at friends' houses, at school, etc. Isn't it better to just talk about it with your child? Tell her why you believe what you believe? You and your husband are the people she will lean the most from. She will absolutely love to hear what you have to say and if you make it part of your regular routine to have these types of conversations, she'll hang on your every word - at least until she's a teenager, lol. We can't insulate our children from everything. I mean, certainly go ahead and tell your child care providers you'd prefer they keep their "political views" to themselves. Whatever. It's just that, you are never going to be able to keep everything you don't agree with away from your child. And honestly, I'm not sure why you would want to. Tolerance goes both ways, doesn't it? Live and let live and all that?
Sorry if this is getting away from the gist of the thread, but it just feels like it needs to be said.