To the liberal, the most fundamental characteristic of any society is that it is a coming together of a number of individual persons, each of whom has a unique identity, unique needs and aspirations, the individuality of each of whom is equally important. The pursuit of individual ends, subject to the agreed mutual constraints necessary to social existence, is the dynamic force of human progress.
This is the liberal view of society. The conceive it to be a conglomerate of individuals, each of whom has a unique identity and aspirations, and each of whom is in pursuit of individual ends. The only caveat on all of this is that there will be "agreed mutual constraints necessary to social existence" - so social existence is not a driver of things at all.
And liberals have pushed Western societies a considerable way toward this ideal. Think of life now in one of the big multicultural cities. A lot of people end up living the liberal way whether they like it or not. Many single people, in particular, are now living the way that liberals want them to: without deeper connection to others, but in pursuit of purely individual ends, such as career and consumption.
It's important to grasp what the liberal ideal is in order to understand the importance of the traditionalist alternative. For traditionalists, some aspects of the identity and aspirations of individuals will be unique, but some will not. If a Japanese person identifies as ethnically Japanese, then he will share this part of his identity with millions of others. If he identifies as a man, then he shares this part of his identity with billions of others. Perhaps he might identify as a father, a son or a brother - again, this is a shared identity. He might identify as a Buddhist, sharing this identity with countless fellow Buddhists.
These aspects of his identity can only be expressed in community with others. To be a father requires a family. To be ethnically Japanese requires the existence of a Japanese ethny. To be a Buddhist will usually be expressed through connection to a particular church, culture and tradition.
And this is one way that individuals come to recognise the existence of a common good. If your sense of who you are is tied to an identity that you share with others, then you will be concerned to uphold the larger communal tradition in which you are able to express this identity.
You might, in fact, see a larger communal tradition as being important not only to the expression of your identity, but also to your social commitments, to your sense of belonging, to your connection to the past and future, and to your connectedness and attachment to a particular culture, land and landscape. You might also see this communal tradition as something that is inherently good, as a unique expression of human life with its own transcendent essence, that draws out your love and your desire to represent the best of this tradition, to protect and preserve it, and to make your own positive contribution to it.
And all of this will help add a richness and meaning to your own individual life, one that is torn away by the liberal vision of society, in which there is no shared identity and no common good, but only you alone as a "unique" individual with "unique" aspirations.
The liberal view of society makes us all interchangeable. Yes, that makes it radically "inclusive" but only by stripping us of the qualities that situate us deeply within a larger communal tradition of our own.