"History tells us it does" you couldn't give me 5 examples. The rest is just peoples' opinion and musings on the subject, not actual proof.
All one has to do to know that virtue leads to order and harmony is to look at their own experiences to know that virtue leads to order and harmony.
Two thankful people will always have a more orderly and harmonious relationship than two thankless people.
Two honest people will always have a more orderly and harmonious relationship than two dishonest people.
Two caring people will always have a more orderly and harmonious relationship than two cruel people.
Two loving people will always have a more orderly and harmonious relationship than two hateful people.
Two humble people will always have a more orderly and harmonious relationship than two arrogant people.
Two selfless people will always have a more orderly and harmonious relationship than two selfish people.
Two appreciative people will always have a more orderly and harmonious relationship than two unappreciative people.