What did Ann write or say that causes you to reach the conclusion she is a demagogue?
For reference, from dictionary.com
http://dictionary.reference.com/browse/demagogue
dem·a·gogue also dem·a·gog Audio pronunciation of "demagogue" ( P ) Pronunciation Key (dm-gôg, -gg)
n.
1. A leader who obtains power by means of impassioned appeals to the emotions and prejudices of the populace.
2. A leader of the common people in ancient times.
3. an orator who appeals to the passions and prejudices of his audience [syn: demagog, rabble-rouser]
Forgive me for answering for you, blowfish, but I resent the conformity of thought the "Church of Coulter" around here demands.
Blueflag, in the definition you provided, #3 fits Coulter to a T. So does #1, in that Ms. Coulter puts herself out there as a leader.
Ann Counter is the right-wing equivalent of James Carville. They are equally strident, bombastic and ugly.