I have a theory that Weevil will follow in the footsteps of Luffy to cause a ruckus for the WG. Since he has now been arrested I believe when he gets to Impel Down he will be the trigger for a great escape plan orchestrated by doflamingo and memberz of his crew both inside and outside the prizon!
Weevil being the legit son of the great Whitebeard will tear through the walls of Impel Down with ease while being guided by doffy who he has teamed up with to mirror Luffy and Crocodile 2 years before
This jailbreak will blow the first out of the water and flip the WG even more! maybe Weevil and Doflamingo will set their sites on crushing Blackbeard after! They both have reasons and incentives:
Weevil vow to avenge his pops and Doffy dislikes Teach + needz a new island and Pirate Island is purfect + he needs to get his name back in the news to reclaim his title as underworld master and troll cross guild
Heavy connections with Beast Pirates Mango has so he can call to them and other former affiliatez of his old partner Kaido
