Because the kansas city mafia worked under the umbrella of the Chicago mob until 1985 when the Chicago mob disassociated itself from the KC mob, after the Strawman 2 trials, the KC mob also called itself the outfit because it was a branch of the Chicago mob.
Actually you have forgotten Correlo, who replace Lazia after he was murdered, Binnagio took over after Corrello, with The Balastere brothers working in the back ground. When Binaggio was murdered GIzzo took over, he died 3 years later from a heart attack. He was then replaced with a combination of Nick Civella and the Balastere brothers again, and then finally nick took it over until his death in 1981.
Did you reply to this post to only try and correct me?
"The film shines a light on Kansas City’s less glorious past when it was a major distribution hub for heroin in the 1930s and 1940s. The somewhat forgotten era of Charles Binaggio as the reigning mob boss in the 1940s is also documented, including the election purge of Congressman Roger Slaughter ordered by then-president Harry S Truman.
Black Hand Strawman explains how Kansas City’s Mafia exercised control over the Teamsters Union Local 41 from the 1950s into the 1980s. Included in the surveillance recordings is the conversation between Nick Civella and bookmaker Frank Tousa two hours before the 1970 Chiefs-Vikings Super Bowl, when
the Outfit was about to suffer great financial loss because nobody in Kansas City would bet against the Chiefs.
In the 1970s,
the Outfit was waging two gangland wars, the infamous River Quay war and the systematic extermination of the Speros, a family of tough Italian Northside brothers who directly challenged Nick Civella and the rest of the Outfit.
In 1972, as a protest against what it called “cultural prejudices,” the Italian American Unification Council in Kansas City spent $2,500 to purchase all the seats of the premier showing of Francis Ford Coppola’s film The Godfather at the Empire Theatre in downtown Kansas City"
http://blackhandstrawman.com/story.html
If you need me to I can try and find the trial transcripts in which the FBI refers to the KC mob as the outfit.
The link you have sited is actually part of the transcript from the Kevhauffer senate hearings.