But why do you consider them misogynistic? The queen did not win the throne, she married it. Why should she get to inherit the throne over their children? Especially if (as in many historical cases) she had conflicting interests, due to being from another country or having a country of her own. This is not the case in GoT, but...
I mean, if I were in a relationship, I wouldn't be working for my spouse. Would we share things? Absolutely, but if I were to die, my first priority would be to ensure my children were taken care of, not my spouse. My spouse is an adult, children are not. Does that make me a misogynist?
If such policies are misogyny, is me inheriting everything from my mother misandry? Is every trust fund sexist?
[This, of course, completely ignores the fact that none of Cersei's children belong to the king]