What is being said is that the police shouldn't be the instance to handle incidents where what is really needed is counseling, or social working. We're talking about shifting funds to those and let police do what they have been trained for.
On that, as an aside... I will say that as black-belt in Aikido, I remain flabbergasted that police officers are not taught simple techniques to subdue or disable people/threats without resorting to deadly force.
To your original post I will also say that owning a gun does not make you and your family impervious to crime! You cannot protect your family with a gun, it doesn't give your family a bullet proof shield. On the contrary you will likely escalate a situation.