Yes it would. The inquisttion, of course as you know, was far more a governmental situation than a church one. The church, of course, was not without fault. Think of yourself in charge. You are the only Christian church that ever existed and along come a group of dissidents who challenge your authority and the authority of the church itself.
As the ONLY protector of the religion, you might tend to react strongly against someone who is attacking Christ's church for fear that the church could be harmed. While the inquisition certainly was not, as we now know, a good thing, nevertheless the people at the time deemed it necessary and, indeed, critical.
You noticed, of course, that throughout my answer I referred to THE church....that's because there was only one....the true curch of Jesus, the Catholic church. Blame it if you wish, she was the only one there.
The Catholic church is Politics, and of the nastiest kind; it intertwines governance of population with religious belief, same thing we condemn in the Taliban and Al Queada. Rather than being a force to to propel government in the right direction, it seeks to become government, as it has historically. Were she to hold all the reigns of government, would she not forced populations to adhere not just to its religious principals but also its politics. Let the Catholic church be a force for good, but let her not govern, for surely, you'll loose your head just the same as if she were the Taliban, if you do not tow her line.