A warning: this traditional, over-the-top gesturing is particularly common in certain cities and segments of population. (The kind of colourful things that short tourism&culture articles like to talk about.) Elsewhere? Not so much. If you were so careless as to extend this stereotype to —say— the modern urban youth or the well-educated expat, you would likely be mocked as a clueless American tourist, and asked about how many guns you keep at home. :)

For perspective: I was born in northern Italy. Very few people within my social circles ever used any of the traditional gestures; when they did, they deliberately exaggerated the movements for comical effect, or put on a southern accent. Indeed, I have only recently discovered that gesturing is considered to be such a prominent, common feature of Italian culture... by reading English articles about it.