My model of spirituality is at an individual level. Most people would neither get it nor implement it correctly. There is no dogma to be consumed and followed. Thus, I do not think it would be useful for most in society. So society wouldn't change much, if at all.
To me "spirituality" means nothing more or less than focusing on the non-material aspects of our being and learning about those aspects' connections with other non-physical forces and beings.
A satan worshipper is 'spiritual" - I don't agree with the practice at all, but it is a spiritual practice.
The model involves;
1. Making oneself physically and psychologically tough - not hard, cold, cruel, crude - just tough; meaning resistant to self-pity and self-importance (really, self-pity flows from self-importance).
2. Engendering a true sense of humbleness - this flows partly from the elimination of self-importance in item 1, but goes deeper and is the result of being exposed to experiences that build confidence, yet simultaneously demonstrate that every day is a blessing and that but for the grace of god, there go I.
3. Develops a personal code of honor and ethics that are more important than whatever it is that might make a person deviate from said code of honor and ethics. Among the prescribed attitudes and behaviors is respect for other people and all living things. No one/nothing bows to you and you bow to no one/nothing. You may have to fake it to navigate along your way, but you don't mean it (the bowing, that is).
4. A solid education in the humanities combined with a field that causes one to think cleanly and logically.
1,2,3 and 4 occur simultaneously and are iterative/feedback loops. Training is rough and unforgiving, yet a sense of humor is encouraged.
Time in training - approx. 10 years (note: one has never "arrived". It is life long process. 10 years should suffice to move onto the next evolution)
5. Meditation is introduced along with, perhaps, a form of yoga.
References and refinement of 1 - 4 continue
Time in training - approx. 3 years
6. More intense methods are added to meditation. This could be psychedelics and/or spending days gazing at the shadows of things, instead of the things themselves and/or immersion in flotation/isolation tanks, walking backwards for a day a time, etc. - Exercises that will help stop the consensus earth bound reality as it has been habituated and that open one's perception to previously access denied zones of one's consciousness.
Time in training - varies by individual; 1 to 5 years
At this point we approach the goal - to realize the totality of one's being as a spirit. To perceive what is not normally perceived by our day to day ego bound mind. To understand that there is more to us and more to the world/universe than we ever imagined - and that we can experience it. To be free. And to understand that our nature is to be perceptually fluid (ok..maybe there is a little dogma, but it has to be experienced directly - at which point it isn't dogma to the experiencer).
What comes next is the realization that, being free from the conceptual and perceptual bounds of every day ego life on earth, there is no reality except the path we walk; a path of the heart and soul and the knowledge we gain along the way and, perhaps, the love we share as well ( if it is in the individual's nature to be love giving).AND to be able to direct our fluid perceptual capabilities with our will or intent.
So I could see implementing this for small groups of people in something like a shaolin setting/Taoist Warrior/Monk Temple.
I wouldn't want to change society. I think that is dictatorial and takes people as powerless children. That is cruel to do to people, though many think it "spiritual" to treat others as incompetents and victims. Let people decide for themselves what they want and let them live with the fruits of their decisions.
Or maybe implement a lite version of the program I described above for everyone starting in grade school. Of course with all the snow flake crybabies and assorted other weaklings, the program would last about a minute before the protests, lawyers and lawsuits.