I’d say as powerful as any high ranking mob captain. And just as powerful as a small mafia don. Didn’t Nicky have a made guy hit? Frank Matthews threatened to light up little Italy.
Organization is where the ethnic groups have an advantage over black gangs and that’s it. When the Muslims killed a Jersey member Don Carlo didn’t advise a war he counseled patience and a solution that would benefit the Jersey family because a war might not turn out so well