My personal belief is that if you disrespect someone's culture and beliefs, then you are going to annoy them. Even if the person is quite moderate in their views, you could anger them significantly. This is because you are attacking not only their beliefs which might not be that strong, but also the beliefs of their family and people they care about, some of whom might take religion much more seriously. Does that sound reasonable?
I was wondering: did you get this idea after hearing about the attempts to demoralise other civilian populations by airdrops of leaflets in 20th century wars?