That's not true. The Almohads, unlike the almoravids, forced christian and jews to convert, under threat of death.
Bartolomé de las Casas relates stories of cruelty beyond belief, inhuman monstrosities beyond imagining, atrocities whose publication he delayed for more than thirty years, finally publishing pseudonymously. How many such true accounts have been forgotten because they were denied the Inquisitor's imprimatur? But the Aztecs' human sacrifices to the sun god, used to justify the bringing of "civilization" to the "savages", remain notorious today.
There wasn't much to start with, since the moorish conquest didn't displace the people but "incentivized"(ahem...) people to convert.
> How many conversos did the Inquisitors burn at the stake, generations after their ancestors converted, on the strength of rumormongering by jealous neighbors?
It's hard to know, but I've seen stimates around 3k-5k. Germanic wytchhunts probably had a much higher number of victims. The Inquisition was a pretty bureacratic institution, and it had proper trials with defence lawyers, questioning of witnesses, etc... Inquisitor [Alonso de Salazar](https://en.wikipedia.org/wiki/Alonso_de_Salazar_Fr%C3%ADas) for example, saved probably thousands of people by setting high standards in Inquisition trials.
Yes, it was VERY BAD and TERRIBLE, I'm not condoning it, but it wasn't the worse that humanity has seen. By far.
I brought it up because the centuries-long intellectual blight that resulted from it is a salient example of the corrupt fruits of the poisoned tree of state censorship, a tree whose root in European history is that very Inquisition.
See https://news.ycombinator.com/item?id=21397905 for a slightly longer disquisition on that theme.