I think the Taylor Street/Cicero rivalry is an old ANP wives' tale that's kind of taken on a grotesque life of its own. Hell, I used to buy into it myself before I did more extensive research.

As a crew, Taylor Street was split up long before '75. Battaglia, Buccieri, and Alderisio, all Giancana's "guys" operated in widely varying geographic territories as opposed to one fluid , cohesive crew. Battaglia was in the western suburbs, Buccieri in north Cicero and the lower west side, and Alderisio was in what eventually became the Grand Avenure crew's territory, extending somewhat into the Loop and the near North Side.

Ricca, Accardo, and Giancana together did everything you described in the first paragraph; it wasn't Taylor Street doing all of the work.