It shows, to some extent, gullibilty, but also...
...that you can pretty much aim the results of something by only presenting certain facts in a certain way. By focusing on "negatives", which may or may not be the nature of the item in question, and wording them in the most threatening manner, one can prety much guarantee a negitave result to any poll.
Did you ever wonder how polls are designed and how they generally wind up reflecting the stance of those who paid for them?