I think there is one key thing here to consider: We cannot make the world a safe space.
To make the world a safe space, we'd have to put away a large fraction of the human population, because we are inherently unsafe.
No, I don't mean specific people are unsafe all the time, but that most people are unsafe some fraction of the time; for example, when drunk, on drugs, when in the grips of teenage angst and uncertainty, mental disorders, angry and frustrated at the lack of control over their lives, and so on.
The truly evil people are just the carrot on top, and not the meat of the issue at all.
Besides, accidents happen.
It's like with many mental problems like depression: we cannot remove the problem, we can only help the person to become strong and resilient enough to overcome the problem. To many, the two feel the exact same thing, but the nature of the help needed is completely different.
In situations where actual physical violence or altercations are not involved, I think it is healthier to help make individuals stronger and more resilient, than to try and make their surroundings safe. Children are a difficult point (I mean, there are many valid arguments to take into account), but I believe parents should have both the power and the responsibility of the upbringing of their children. I do not believe governments trying to control all humans so that particular models of child upbringing will be safe, is at all tenable. If not for any other reason, because prohibition laws not supported by a large majority of the population always fail.