Am I the only one who found it interesting that Oda decided to include these panels at the bottom of Akainu reacting to Law vs Teach? Obviously the marines keep tabs on all the major pirate activity, but I still find it interesting.
Law vs Teach parallels Ace vs Teach, both are major battles that Teach has with pirates allied with Luffy, both of whom also happen to be Ds. As we know, after Teach defeated Ace, he was handed over to the WG in return for a position on the shichibukai. So imo this parallel would be complete if Law was also handed over to the WG, this time in return for a sought after DF.
Law's ope ope no mi allows him to grant immortality, which might be something that the world government desires. Therefore Teach might be able to make an underhanded deal with cipher pol, much as Kaido did.
Ultimately, I think Law will end up learning some major WG secrets in mariejois, before escaping and revealing these secrets to Luffy during the final war. Such an arc would fit Law's character, as he wants to learn the true history of the world and is a D, an enemy of the gods. As a result, he should be more involved in the final war, as opposed to elbaf.
I think Elbaf will heavily feature Kid, as he is searching for Saul and wants to beat Shanks; Oda did say he had big plans for him. Also think Bonney, Capone, and Urouge will have some big moments in Elbaf. Law, on the other hand, will probably be put aside for a bit before taking a major role in the final war arc.
