"...without any of the elements...of the institutional church."  "...(e.g. - the hierarchy, the magisterium, doctrines...rituals, etc.)...."

For Catholics (not Quakers, other non-hierarchal churches), the Eucharist/Mass, the sacraments are a little MORE than embroidery. It's so easy to blur essentials with a "People of God" coloring, as it were, reducing church to a nebulous uniformity of vague shades and unsettled tinges. "People of God" makes sense only when we know something else has no been enthroned in place of Scripture, doctrine (Church Councils), Magisterium. Other than that, we're left with half a wheel, if that,  with no real circumference.