I never heard of the Cicero mob. But I guess its possible they were called that.
Cicero was owned lock stock and barrell by Al Capone. His gang controlled it after his death. Al also controlled 90% of Havana, IL among other IL cities.

I was in the Merchants on many a day.
There were 1000's of illegals pre 1960. A large percentage were controlled by various organized crime famlies. I have 2000 Ided illegal chips.
You are asking for waaaaay too much typing.