Women aren't penalised only for having children, they are penalised because they might have children. Men, OTOH, tend to be seen as more serious and responsible and therefore managerial if they become fathers.
You can't focus only at the top - you need them all the way through, because you need people who are gaining the experience that means they will be capable of the C-suite jobs. They need to be leading teams, handling high-profile projects and dealing with budgets -especially this last, if you follow what Susan Colantuono says. Women are much more likely than men to miss out on financial mentoring and experience, and without that, it doesn't matter how good your people skills are.
GainIng experience is key in a cumulative way. Give Dave the big project this time, Jane can have the next one. But the next one is really high-profile, and we can't afford to screw it up - well, we know Dave is capable, because he did a good job on the last one, and Jane just hasn't got that experience, so to reduce the risk of things going wrong, we'd better give it to Dave, and Jane can have the next one. And then Dave has gained the experience and profile to get promoted, and Jane is still expected to take the minutes in meetings, because she's good at that... once or twice, it's not such a big deal - you only need so many people to run a project - but over a whole career, the cumulative effects can have a massive difference.
I agree there should be equal rights to paid parental leave - however, on average, men are more likely to be a bit older and in a better-paying jobs than their wives, so in a lot of cases, it will still often be financially better for the household income for the woman to take the bulk of the leave. When a Swedish colleague took a year's parental leave, there were comments from one manager about his lack of dedication to the job, which is not the sort of equality we should be aiming for.
I agree there should be blind CVs (eg names etc) removed.
There should be a lot more awareness of unconscious bias, thing like women being seen as too pushy for asking for a payrise which a man would be expected to ask for. Women being seen differently, and usually more negatively, than men are for the same behaviours - bossy vs natural leader, aggressive vs assertive, that sort of thing. I'm tolerably certain that none of my male colleagues had anything in their reviews about being emotional like I did.
But all that stuff still goes on way too much, so there should be quotas. It doesn't have to be, "you must only interview women," but I know of one place where they won't allow any interviews until there are at least 3 possible women among the list of interviewees - you can still interview men, and obviously they need the skills required for the role. There would be other ways of doing it, too.
It's not easy - I am in a techy department and we currently have a senior tech vacancy, and there just aren't many women applying (which also isn't helped by HR sending through CVs for magazine designers rather Unix sys admins - made me wonder how many people are thwarted by poor recruitment processes.)
There are loads and loads of incompetent male managers out there. Women often have to be far better to be seen as their equivalents. We all deserve better than that, as people who are being managed, a's well as those doing the managing. If it takes quotas to get there, so what? If men want promotions, they're going to have to work for it, like women do, and get there on merit, not just because they're pale and male and play golf with the right people.