I don't think so. I mean, I would safely assume that you hate men who murder people (probably anyone who murders people), but that does not make you mysandric, does it? Of course not.
To be mysogynistic, he would have to hate or deride ALL women, merely because they are women. He dislikes (read "hates") people who collect alimony, of which a majority happen to BE women.
As for his arguing and insults, I have two feelings on that. As I said, I disagree with the delivery, but secondly, and really think about this, when changing a system that has been in place for DECADES, will asking nicely and being polite get you anywhere? I mean if we just ASKED the British to allow us to succeed, do you think America would exist? Sometimes it takes violence, even if it is just in words, for change to take effect.
Why give a "senior" discount, they have had plenty of time to raise the money...