As a Native American, I cannot agree here. Speaking only for my own tribe, all parts of the path involve all members of the tribe. Nothing is truly exoteric in that.
Of course this is exoteric. Exoteric religion is the outer forms, the practices, the rituals, the rules, the rites of passage, etc. That all members are involved in this means it is in fact the external forms, the exoteric aspects of religion they are engaged with. There's nothing "wrong" with that, of course. All religions have this aspect, legitimately.
The shaman may lead, although that is not always set in stone either but all members are part of the spiritual practices and path.
It might help if you define what you mean by the spiritual path in this context. When I was citing the shaman specifically in regards to the esoteric aspects of religion, I was referring to where they will enter into mystical states and go on a spirit journey. That specifically is what is the personal exploration.
Now I am not saying that exoteric aspects are 100% divorced from esoteric aspects. They certainly are not. Drumming and dance, sweat lodges, chant, ritual sacrifice, and so forth all play an important role that aid in opening one to the inner paths. But not necessarily. Many can practice all the forms, and become quite insistent upon them being just so, and never have any sort of interior experiences, let alone actual explorations (like the shaman or a mystic will in various higher states of consciousness). The hope of exoteric forms, is that they will lead to esoteric awakenings. And when the latter occur, it can in fact better inform the exoteric forms, opening practitioners to the possibility of their own awakening.
But Christianity, which is what the OP is referring to is not a shamanic religion, but a mythic God religion. The power of the shaman, is replaced by God as authority, elevated from shaman as leader, to an Absolute Authority. Those that follow the extoric forms: the beliefs, the doctrines, the creeds, the practices, the traditions, etc, are in most cases not having any sort of inner awakening themselves. They are not entering into the sweat lodges, sitting on the meditation mat, going inward, looking within, etc. They are "Christians", because they self-identify with the forms. Therefore that practice is in fact wholly an exoteric religion.
Does this help clarify my thoughts?