Taking an anecdote and blowing it up with hyperbole, which takes at least two forms. The first is saying something like "How would you like if such-and-such exaggerated example happened to you". The other form is to exaggerate it as a hateful premise, such as "What, do you want to take all the immigrants and put them in jail?"
Another technique is basically the opposite tactic. They try to pin down a hairsplitting example, such as "So you're saying there no cases ever filed in California that bilingual education helps a disabled child?". Alternatively, they give a hairsplitting example where something went wrong as an example of why the baby has to be thrown out with the bathwater.
I always like to see liberals' faces (both of them) when I say "Yes. It does."