You cannot, through reason, convince someone that their position is wrong if it is one that they did not arrive at through the use of reason in the first place. They have been useful to the Republicans, but are now more useful to us. The teabaggers are disproportionately old, white, angry, intolerant, rude, disrespectful people.
If you want to alienate the middle class soccer mom Republican voter, then you need to get her to see these folks for what they are: they are simply not people with whom any sensible, respectable citizen would want to associate. While she believes in education, in sending her kids to good schools and good universities, these folks are ignorant:
They cannot spell:
They don't know geography:
While she's rejected overt racism, they have not:
As I have said many times, this is the old Wallace wing of the Democratic Party, but they are all Republicans now. These folks would scare the shit out of the typical aspirational soccer mom Republican if they moved next door. To the extent that the Republican Party has embraced these nutjobs, and it has been great, they make it impossible for middle class citizens who value good sense to support them. The GOP has lain down with these dogs, and we need to make sure they cannot ditch the fleas.