Catholic church went through a reformation otherwise they'd be burning Muslims at the stake.
Know your history before you pass judgement.
Look up the Reconquista. The Catholics drove the muslims out of Spain and through the inquisitional killed all muslims that did not convert to Catholicism on the spot.
You should brush up on your own history. As much as I despise the Inquisition, the Crusades (where massacres were indeed common), and other depravities of Christendom which are real - I must protest when imaginary depravities are added to the list.
The Catholic Church never burned Muslims at the stake. They burned Christian heretics at the stake. Thus self-proclaimed Christians, suspected of being Muslims or Jews in secret, were burned alive (if they confessed to being secret Muslims or Jews, then they received the 'mercy' of being strangled before being burned). But the execution was not for being Muslim or Jew, it was for practicing Christianity in a heretical manner. The Inquisition had no authority over non-Christians.
Also the assertion that "through the inquisitional killed all muslims that did not convert to Catholicism on the spot" is flatly untrue. Muslims were actually permitted to stay for a time after the Reconquista's completion, then once the monarchy (not the church Inquisition) decided that Muslims would no longer be tolerated, they were given the choice of conversions* or expulsion. The mass executions of Muslims you imagine never happened.
*A bad choice as it turned out. Any self-proclaimed Christian in the lands controlled by the Iberian monarchies who had Jewish or Muslim ancestors was perpetually suspected of heresy, and in danger of persecution/prosecution by the Inquisition.