Meanwhile my ecology professor is literally teaching that survival of the fittest is about genetic superiority and that evolution is about working towards that 'goal'. This is incorrect and bad science that is rooted in right-wing ideology that was disproven decades ago.
This is not what survival of the fittest means by the way. There is no such thing as a genetically superior being, as 'fitness' is totally subjective, as well as dependent on your environment. A lifeform that reproduces well in the ocean will still die if you put in the vacuum of space, no matter how 'fit' it was for ocean life. Not to mention the idea that nature has some sort of conscious goal is anthropomorthising a concept and again, bad science.
I really want to do something about this, but I feel like complaining will get me failed or known as a shit stirrer.
I fucking hate capitalist education.
On the plus side, our next lecture is on mutualism
That demonstrates a deep misunderstanding of how evolution works. It is a common misconception in the general public (partly because it is beneficial to right-wing ideology for it to be perpetuated, as you mentioned), but a misconception that even a kinda competent biology layman would know better than to believe. It's nothing short of shameful that an ecology professor is repeating such a thing. To do that as a supposed authority on the subject is actively misleading students, it's worse to teach a falsehood than it is just to leave them ignorant.
I obviously don't know your situation specifically or how things like this work in Australia, but if I were still a student and my prof was saying those things, I would definitely complain about it to the department chair or someone who has the power to intervene. I don't know if your professor is just woefully uninformed/misinformed on the subject they're teaching, or if they're repeating this misconception because they have a reactionary political agenda. But either way it's horrible and shouldn't be allowed to stand imo.