Palin respects the family - if it's her family. If it is your family, no such protection is necessary. You will be urged to find home-based child care rather than using the care facility at your workplace, near your school, or with early childhood development professionals.
Given Clinton's recent major and undeniable race-inflected victories, the increasing charges of sexism, particularly against Obama himself, are misguided at best. This is no way to advance party unity or women's rights.