DeStefano, Nicolletti, Milwaukee Phil, Battaglia, etc the Taylor St heavies didn't have too much respect for the Accardo & the Grand Ave people. Tony Accardo was a very tough guy in his day, and a preposterously wealthy & powerful boss, but he & his crew were never particularly feared by Taylor St & the southside crews. He was the perpetual mediator. But he wasn't a gangster in the vein of Ricca/Mooney/Battaglia/etc, and none of the Taylor St guys would've layed down for him. DeStefano was absolutely beyond insane, like a cartoon character. People did what they could to stay on his good side & just stay out of his general peripheral. He was also a gatherer of men, and was hugely respected by young guys coming up. Of course they were afraid of the many ways in which he could have stunted their takeover.