Here are the cartoons:
http://www.faithfreedom.org/Gallery/Mo_Cartoons.jpg
Most of them cannot possibly be said to depict Muhammad as a terrorist.
The first one is completely neutral.
The second seems to show a halo, but apparently some interpret it as horns? He looks very peaceful.
The third one uses the muslim symbols of the star and crescent, it seems more of a symbolic Muhammad than anything.
The fourth is a dig of Muhammad as a warrior and criminal and the suppression of women that takes place in many muslim countries (my interpretation).
The fifth is very light hearted, even though people may take offense.
The sixth does not depict Muhammad the prophet, but rather a school student, and it satirizes the newspaper, not muslims.
The seventh is a description of the current situation where people are afraid to publish pictures of Muhammad.
The eigth pokes fun of the domestic situation and includes a danish racist politician, a hippie, Jesus, Buddha, and the author of the book who was looking for illustrators.
The ninth 'the crazy prophet who suppresses women' does not depict Muhammad, but rather the suppression of women under islam.
The tenth depicts Muhammad trying to calm down the fundamentalist muslims who are about to go on a rampage because of the drawings.
The eleventh is the one that is always circulated - it shows Muhammad about to explode - it certainly depicts fundamentalist muslims very well. Obviously this is the drawing that has caused the most outrage. Compared to other satirical cartoons I've seen of other things it's quite tame.
The twelfth shows the author of the book landing an orange in his turban (meaning a stroke of luck) symbolized as a PR stunt , holding a stick drawing of Muhammad.
All in all, most of these drawings can hardly be said to be particularly offensive towards Muhammad.