Doflamingo and crocodile: the schemers
Doffy obviously having more through being a former celestial dragon, knowing of the national treasure, and basically being the boss of the underworld. Doffy basically successfully achieved crocodiles utopia plan in dressrosa through those connections
He also had a overall stronger and better crew
Kaido and mihawk: the muscle
Kaido being the world's strongest pirate pre wano and actually going around picking up fights with everyone and anyone he can. Also he's capable of leading a crew
With his control over wano he also basically also successfully achieved the utopia plan and technically could have just lived there peacefully if he didn't have greater ambition
Caesar and buggy: the clowns
Buggy is obviously more successful now being an emperor and everything but pre cross guild id say caesar was. He was apart of mads which eventually lead him to being used by 2 emperor. Also based on hadjrudin the punk hazard team was probably stronger than buggy's delivery
Something that cross guild does have over the beast pirates is that the 3 are way better at communicating and will actually respect eachother