Well, it is certainly possible that Coulter is this stupid. Ideologues get lots wrong because they cannot think past the cliches and uninvestigated assumptions of the ideology. "Jews start all the wars", "the Muslim faith is murderous", "the universe is some 6000 years old", "America is the greatest and most noble nation ever", etc.
On the other hand, she might not believe this at all. Let's consider the thesis, advanced earlier by tico and finn etc that Coulter is merely an "entertainer". Truth, accuracy, honesty...none of those qualities are necessary if the task to hand is entertaining. Often the opposites of those terms are more applicable...you tell things that didn't happen or aren't true, you exaggerate, etc. An entertainer's role - the product offered - is simply saying or doing something which an audience finds entertaining. In exchange, if they "entertain" acceptably, they get money and kudos, prestige, etc from the audience. Coulter is quite explicit as regards how happy she is to be a millionaire as a consequence of her "entertaining".
And it is clearly worthwhile thinking about just who, in a general sense, Coulter's audience is. A borscht-belt comic wouldn't do very well if he were to let on during some interview that he was a member of Stormfront or the Ohio Proud Trailer Park Nazis With Bazookas. For Ann's audience, you can't go around admitting you are an atheist or a Muslim or a Whirling Dervish. You gotta be a Christian, and a particular sort of Christian (note how commonly the radio talk people and the rightwing pundit types manage to fit into their spiels "And by the way, I am a Christian"). And you are going to have a view about Darwin that doesn't violate your audience's ideas and values.
So, who knows what is going on in this creature's noggin?