Misuse
Unfortunately, the name of the concept has made it ripe for abuse and misuse by moonbats and wingnuts alike. Some on the right use similar logic to the "everyone is racist" argument, stating that because no one can be perfectly tolerant, the concept of tolerance is tenuous to begin with, and this gives them free reign to oppress groups that don't align with their ideal society — namely women and ethnic minorities (this becomes especially true in the case of white nationalists). "Everyone is intolerant, at least we admit it,"[3] they might claim, which confuses internal consistency with rationality — simply having a consistent moral framework doesn't mean that those morals are good. In addition, there is an argument for pre-emptive suppression of groups that are likely to turn violent — the alt-right, for example, may not be consistently violent, but there has been an uptick in attention paid to right-wing terrorism recently. Should we tolerate at the cost of lives? (Or is that a false dilemma?)
Likewise, many liberals and others on the left make the argument that because of the paradox of tolerance, intolerant views cannot be tolerated, and this is thus to be used as a defence against intolerant views. The keyword here — intolerant — being however they choose to define it, making for some interesting takes to say the least. However, it too is based on a fallacy if used as an argument for censorship, since Popper explicitly states that he considered such laws to be unwise. In defence of deplatforming, Popper is often quote-mined[4] to suggest that the default position on intolerance is suppression, when this really only applies to violence (which definition and extent are up for debate). And ironically enough, given that some communists argue for 'violent revolution' and joke about 'killing/eating' the rich, this actually hurts them as well as the far-right