What I notice in many of the posts by men who acknowledge the problem, is a resolute sense of defeatism and passivity (if one can be resolutely passive. One can certainly be resolutely defeatist and fatalistic). Samedaysameshit 's post, quoted just above, exemplifies this but is not the only example on the thread.
This reminds me of a common pattern of rhetoric about climate change; another problem that is bigger than any of us individually, yet which multiple individual actions can help address, through culture change that supports political change, more than through the tiny actions themselves.
The rhetoric is so familiar: 'It's happening but it's too big for my tiny contribution to mean anything'. Or, 'I don't believe it's real / caused by humans... oh, ok it is but it's already too far progressed for my tiny actions to make any difference.'
In reality, when cultural change happens, it usually happens fast. Things that were intractable elements of everybody's background normality, as outside our control as the weather, suddenly flip and go from normal to socially unacceptable within a generation. For example; drink driving, seatbelts, handguns (in the UK), smoking in public places, plastic bags, open homophobia.
Culture change happens when one of those unremarkable background elements suddenly comes to the fore, has a spotlight thrown upon it and everyone says 'how did we not notice that before?' I think Malcolm Gladwell has written about this phenomenon.
That's actually a very cheering perspective. It demonstrates that change can happen and that when it does, it's self-perpetuating.
Perhaps this is that spotlight moment for women's safety and freedom.
This does challenge the attitude of entrenched defeatism though. It says that actually, what you (men especially), do now, makes all the difference.
The first thing to do is to identify what the problem actually is. It isn't just sociopathic serial rapists. It is all the actions that make women feel unsafe and wary of men. Find out what those are, from the women who are perpetually attuned to noticing them, and you have a starting point.