No current hate on mages has little to do with the whole Tevinter thing. It's the huge preponderance of abominations running around, whole mage circles rebelling, the huge increase in blood magic, some mages doing suspect research into a variety of things like curing tranquillity, and some circle 1st enchanters behaving very dubiously.
The people of red cliff don't care a fig about the blight, what they do care about is that one small mage child got possessed by a demon and ruined their town killing hundreds.
So the muggle answer is to bully the human nuclear warhead into submission, interesting tactic to prevent utter annihilation. Tell me, why should mages heed this hysteria? Sure in times past, muggles were able to coerce mage compliance through threats of tranquility, a lobotomization producing compliant docile slaves but now that the cat is out of the bag that the threat could be reversed, what's to motivate these mages to just unleash those magical horrors on the populace if they know their only future is a cell or abuse? The pro-Circle like to spout the narrative that mages are ticking time bombs, or dragons unable to control their nature even though it's factually untrue. At best they are intelligent people with a gun grafted on to them, with out training they could shoot themselves in the foot, with training they can direct it, not pull the trigger, or shoot you. If mages break into every mage prison, reverse every tranquility either causing chaos or strengthening their numbers, what's to stop another mage revolt from spiraling out of control? Mages that apparently are so powerful as you said, could destroy villages and armies, and all the magical horror blah blah is not a case for mages should submit, its a case that mages are able to fight, but can't be intimidated or strongarmed now that they know how to fight tranquility. What happens then? Either the mages, fed up with muggle abuse will bring them to heel out of necessity since a hysteric mob is just as dangerous as an unchecked dragon, or the muggles annul every mage ever born and we'll see how the populace react to that solution for long. Maybe the average people of Redcliff should think about this, or at least leaders hopefully smarter than them because like it or not, it could affect them.
Maybe the Chantry should use that religion to promote peace and compromise with the mages instead of fear and hatred. Gisselle was able to promote an understanding between a mage in the Inquisition using healing magic on a hysteric muggle. It could end like that, or it could end in chaos and zealotry which muggles seem to think promotes order.