I doubt Coulter and Carlson really have misunderstandings about Canada. They both make their living by making stupid outrageous statements. They are the professional wrestlers of politics, the dancing monkeys, the parisan hacks.
Personally, I haven't watched enough of Carlson enough on a regular basis to see if he actually has anything to add to the political dicussion, but what I have seen of him he doesn't add much. Maybe Carlson is just not as bad as Coulter, but since Coulter is from what I've seen the bottom of the barrel it's not saying much for Carlson.
Also for the full transcript check of Carlson on Wolf Blitzer Reports go to the following link:
http://edition.cnn.com/TRANSCRIPTS/0411/30/wbr.01.html
A closer look shows that Carolyn Parrish certainly was able to hold her own against Carlson and several times shot him down.