Except the Cathars and Albigensians were nonviolent. Which of course you know. So you also know that your comparison of them with murderous Muslims is a deliberate lie.
An excellent comparison, however, is with the Christians who are being slaughtered by the Muslims because they exist, or the Jews who are receiving rockets everyday because they exist. That's exactly why the Church murdered the Cathars - because they existed.
Why lie? Why defend the indefensible? Why not simply say that the Church rejects Cathars teachings, but their slaughter was wrong even for the time. Something done by perverts in the Church for their own power, and not reflecting the teachings of the Church, let alone the teachings of Christ. Why continue to try to defend horror with lies? Do you think Christ wants that? If not, then who do you really serve?
If they were nonviolent why/how did the murder and mutilation of Pietro Parenzi occur in 1199? Who murdered Peter of Castelnau in 1208? How did these nonviolent people send an army of 2000 horse and 15000 infantry into southern France in 1213?
From Warren Carroll's History of Christendom:
The black legend of the Inquisition has been the most successful of all historical propaganda offensives against the Catholic Church; and the difficulty of responding to it persuasively is vastly increased by the almost complete inability of modern man to understand how any society could regard a man's religion as a matter of life and death. But in fact the heretic in Christendom was in every sense of the word a revolutionary, as dangerous to public order and personal safety as yesterday's Communist or today's terrorist. They brought fear, cruelty, bloodshed and war wherever they appeared in sufficient numbers. The Cathars of southern France had become so strong that only a crusade eventually supported by the full power of the French king had overcome their armed power. Now they had gone underground and had to be rooted out lest they seize power there again. The Glory of Christendom Vol 3 pg 217.
You have accused me of knowing the Cathars and Albigensians to be nonviolent, something history tells me is not true. You have further accused me of deliberately lying. Do you wish to retract or rephrase?