For your second question: sadly, liberal and progressive views do little to combat innate biases. Every single person on the planet has some biases that they might fail to recognize and there've been some recent studies that showed students respect female professors less than their male counterparts and evaluate them lower overall. That's not some systemic hatred toward women, that's just a result of the way society views female educators. For examples, look at these studies: https://www.cambridge.org/core/journals/ps-political-science...

https://journals.plos.org/plosone/article?id=10.1371/journal...