There's some sort of "animosity" between people from northern and southern but not like the kind you described in your question.
Northern Italy is considered more developed and there is, unfortunately, always be a somewhat large part of people living in the north that thinks that Italy could be a way more advanced country IF they would get rid of the south.
This feeling is basically originated from these factors (most of them are just prejudices):
- the south is less industrialized
- the south is "governed" by Mafia
- people from the south don't want to work as hard as people from the north
- less education
In the north there is a derogatory term for people from the south: Terroni. It's actually impossible to translate in English but it refers to the fact that they "work the land" and are somewhat uncivilized.
See also Lega Nord which is a party aiming to separate the north from the south and in recent times it managed to reach 15% on votes in some elections.