I "conceded" that they were trying to change the biological meaning of woman or man. That's the wordplay they've engaged in.
I understood you to have been arguing that trans activists were claiming that someone biologically male, could actually become biologically female (or vice versa). I was arguing, in contrast, that trans activists were claiming that the categories of "men" and "women" should be flexible enough to admit trans people, not that they were claiming that a male person literally becomes, biologically, a female person.
If that's not what you were arguing, then I'm afraid your position was unclear. But I still don't think they've changed the biological meaning, I think they're saying biology isn't the only relevant factor which should be taken into account for social purposes. To my mind, that's a change in meaning, but it's about sociology, not biology.
You can't control people's thoughts....nor should you seek to.
We can shape culture, though. We do that all the time, and it's not inherently wrong to do.
What rights don't women have to Australia?
I wasn't speaking only of Australia. But we're still working on equal pay for equal work, so...
So feminism has no need to exist in your nation?
We've made more progress here than in some places, but we still have a long way to go.
Take a look at what your faith based ideology has wrought here in the US. It's only hurt everything it's tried to improve.
Abolishing slavery was bad?
(NB: there is plenty of American Christianity and its ideology which is quite foreign to my sense of what the church's mission is about. So I'm not going to uncritically agree with everything every Christian does. But I don't buy that there have been no improvements along the way).
But you cannot both be correct.
That doesn't mean it's hypocritical if we disagree.
As for Marxism, I'm not promoting socialism (despite the American tendency to use that word for anything government-funded), nor am I particularly taking any economic positions, so no, I'm really not taking on board the idea that I'm "serving" Marx.