“The only way to be tolerant is to not tolerate intolerance“
First of all we have already seen the breakneck speed at which the intolerance goalposts are moved from “actual, literal, active, practicing Nazis“ to “anybody who says the tiniest thing I disagree with”. We already have a system in place to stop the violent actions of the intolerant. They’re called laws against murder and assault. We don’t need to further extend a policy of “intolerance” requiring shutting people down or justifying attacking them because of their “unacceptable” views.
Calling people out for their bullshit works infinitely better than constantly trying to shut them down. All you do then is convince them that they are martyrs and if they’re being persecuted for their beliefs they must be right. But if you actually call out the flaws in their argument, even if you don’t change *their* mind, you may sway someone who was considering their point of view before.