If a poster doesn't agree with your accessment that they are being dishonest, they certainly have to right to do that. The burden will then be on you to prove they are being dishonest and deliberately deceptive, something very hard to do. Again, it all boils down to the subjective feelings of the accuser, which are often already clouded with hostility towards the accused and a desire to shut him up because he will not agree with them. How do we know the very attempt to punish someone for dishonesty isn't itself laden with an personal agenda to censor the opposing view? We don't. That's why its a bad idea as an infractionable or bannable offence. Because it can always be twisted by someone towards getting rid of someone they don't like.
So you feel that intentionally and repeatedly misquoting someone is not dishonest? That ignoring arguments you dislike or cannot disprove isn't dishonest? Please, elaborate on this.