This paper argues that the modern secularization thesis is in the first place an explanation of the past of European societies and their colonial offshoots and that, contra its critics, it was not intended as a universal template. Such momentous historical changes cannot simply be repeated if only because, while the secularization of Europe was unprecedented, largely secular societies, that can attract emulation or rejection, now exist. What we might expect, and why, is detailed before the case of Brazil is considered. The paper concludes that, while it is too early to be certain that Brazilian changes fit the expectation that modernization weakens religion, we can probably conclude that they are minimally consistent with that expectation.