I know what you mean.
As parent and grandparent, I was, and still am, far too soft. My children will firmly tell me not to go and comfort their children whom they have told off. I never interfere, but I find it hard to hear one of them upset and not do anything about it - but the mums are definitely in charge, as it was when they were little.
I know there are obviously a lot of families where respect instilled in school is lost when they get home, but I think that framework does work, and eventually it will work its way through the generations until they children taught respect properly will grow into adults who will pass it on as a matter of course.
But as I have said, it won't happen because governments do not value pre-school and primary education anything like as much as they should, for all their bombast about 'society' - that is what our children will be - our future society.