I don't like when people use the swastika because it symbolizes the group whose goal it was to wipe the Jews from the planet. And that is just pure evil..
I, like many other Americans, identify the symbol of the Cross with the Bible and more specifically with Jesus. Although it represents something both horrible (the process) and wonderful (salvation), many Americans see it in a favorable light. *However* - I must say - there are many in the middle east who would have the symbol banned. Why? I think it is at least partly because the symbol of the cross was brought against them in war during the crusades. This obviously had nothing to do with God (this was an evil act as well) but I think it has left a similar feeling for the cross that we have of the swastika.