Earlier quoted context omitted.
There are plenty of layers at which it's misogynistic, but the most obvious one perhaps is that it wholly centers around the man in the relationship. Why must the wife be the source of the husband's unhappiness ("nagging wife" trope)? Why does he get to be the great philosopher if they're both unhappy? You can say "it's just a saying, it would be equally true with the roles reversed" -- but then, why aren't they? Sur…
In an unhappy marriage the other person is normally the source of unhappiness. Not always of course (I knew a guy who got divorced because he felt he'd missed out on having more relationships).
The mature way to approach the problem is to work together to resolve the issues -- or if that isn't possible, terminate the relationship. You can't just make yourself the victim and say it's all the other's fault.