Dealing with haters

For a few months now, I've been dealing with bullies who not only badmouth my English but also blast out claims like "his one-dimensional characters" or "... which lusts for her mother" into the world of Twitter and elsewhere.
I don't know what's going on in those puny buns, what they call brains, but they definitely haven't read what I write when they make such false allegations.

How would you deal with such idiots?