Latitudinarian:
: not insisting on strict conformity to a particular doctrine or standard : TOLERANT
specifically: tolerant of variations in religious opinion or doctrine [Merriam-Webster]
Noted in “Separation of Church and State Has Always Been Good for Religion,” Ed Simon, Religion & Politics:
In America, “Congress shall make no law respecting an establishment of religion,” the First Amendment reads. But its piety was ensured by what follows that comma, for the state shall not prohibit “the free exercise thereof.” Such latitudinarian tolerance in the combination of the establishment clause and the free exercise clause was responsible for transforming America into a veritable spiritual laboratory. Tocqueville understood that the greatest aid for faith was removing it from its position of direct political power, noting that “religion cannot share the material strengths of the rulers without suffering some of those animosities which the latter arouse.” This was a lesson well understood in Tocqueville’s America. When the Frenchmen would inquire as to the reasons for such spiritual vibrancy in the New World, Americans “mainly attributed the peaceful dominion of religion in their country to the separation of church and state.”