There’s no need for them to shoot up places; most concerned take it out in many other negative ways than that. Child abuse, drug abuse, emotional abuse, self harm, exposure to STDs, and domestic violence are among the other consequences of such behavior.
As for your last sentence, I would agree that this case applies just as much as the other way around.
I would say that the things you describe are as much or more of an epidemic among single mothers with "baby daddies" than with women without children (you list child abuse - a woman would have to have a child first in order to abuse or neglect it, no?)
The notion that children make things better for the dysfunctional and mentally ill is one of the reasons we're in the mess that we're in now. The reality is that dysfunctional people simply pass on their dysfunction to their children.