I really think that the teacher should take it upon himself and create these moral lessons.This should be drawn from the themes of his lesson and from there he can extrapolate on the morality and contentious issues in wider society.It worked well for me in Literature and English lessons . I know it can be done in other subjects too. Curriculum developers should endeavour to graft this life lessons('as my students named it) into the various subjects instead of seeing it as a different entity. It will help enliven the teaching process . It worked for me and my Year 11 Literature class, we operated like a family. I also gained insight from their expose.
I guess you're speaking about revisiting the educational system. teachers have to offer opportunities to their students to express themselves and discuss issues. As teachers we need to open the door to critical thinking, to understanding of others even if they are different. Respect, tolerance will allow us to teach the citizens of the future of the global world. Without this approach wars will never cease.
A teacher does not have to try changing ideals, we don't have to do parents' work but by helping students to think critically we offer them a path to maturity.
If you teach literature or reading, you can integrate moral values in the story map. After analyzing the characters and conflicts of the story such as man vs man, man vs himself and man vs nature, ask the students the moral lesson of the story. Then ask them how they can apply it in their own life.
Then in math, motivate the students the importance of the lesson why study math. Ask them what you count and measure in the classroom. For example the classroom will be built by measuring the wall, the ceiling, the floor and etc...let the student figure out the importance of counting money and counting time. Students may answer to budget money andto budget time and etc.
I can share specific methods of teachings which l have applied in my 18 year teaching experience. Right now I have mentioned a few but will share more later on. If you are using a lesson plan, add in your outline subject/ objective and procedure how you would motivate students or what moral lesson can you share in class.
I think it is a good idea to have norms of moral disciplines in your vision and mission statement of the school so that every teacher and the parents know what The morals values of such a school are.