I thought the reason the church burned people at the stake was because they could not shed blood (clearly an absurd "work around". A perfect example of the letter of the law but not the spirit).
Saying the church is holy but the people transgress....well, I'm not buying it. The people are the church.
However, I find your argument about the threat non European's pretending to be Christian posed, whilst spying for the Caliphate. A compelling reason to take drastic action, Since the caliphate wished to reconquer Spain. But what of the Jews? The church cannot claim the conversos were a threat?
Interesting Watchtower judicial meetings follow the exact same methodology the Spanish inquisition used, according to Dr. Jim Penton!