There is a difference between toxic masculinity and healthy masculinity. When women talk about their will of being protected by men they talk about healthy masculinity.
Toxic masculinity isn't protective but either controlling of the woman or too dependent on the woman.
Women can try to "touch man's heart" as you say, but if he isn't willing to help to himself or is too biased against women it's almost impossible.
One should take the responsibility to be a better version of himself and not wait until someone saves him. It's important both for men and women.
A child doesn't live in a vacuum, he lives in society and it also has an impact on the child, some will argue that it has much bigger impact.
Also, a father, whether he is present or absent, still has an impact on the child's psychology, character and future.
I don't agree that men are barely monkeys who hunt for food. If men are that, women also that, we all started as monkeys who spent hours for hunting and gathering food. You might be dismissive but hunting animals for food isn't easy as it sounds. Watch some documentaries about Hunter-gatherer tribes and you will be amazed by the complicity of it and the things you need to take into account in order to have a meal for one or a few days. It is much simpler to go to the supermarket and buy your food.
There are intelligent, sensitive, complex and strong men in our world and that's a proof that men can get far if they will, with or without women. A man can choose consciously what kind of man he wants to be and work for it, as much as women can.
It doesn't matter if women are those who are responsible for your failure or not, let's say that women collectively responsible for you being suck, why should you wait until they will take the responsibility and fix it?
Better to take your power now and be the best man you can be instead of creating story narratives and excuses like "man is barely the monkey around that hunt for food" and miserably believe in it for the rest of your life.