The ACTUAL Yonko the Law Hat Team is Going After
 

Credit to the grounds of this theory goes to Sawyer7Mage on Youtube. Check him out.

Everyone knows who it is... or do they? People say: It's Big Mom! Luffy Even challenged her!

...so what? Zoro challenged Mihawk in the first few episodes, yet they only met again right before the TS.

Actually, I think the real Yonko the Law Hat alliance is going after is...



So, you might be thinking, yeah Box, you're about as stupid as a sack of hammers. Luffy sees Shanks as a Father figure, almost. Why would he kill Shanks? Well, who said he'd KILL Shanks? When was the last time Luffy ACTUALLY killed someone?

That's what I thought.

Law supposed to take down Shanks. Luffy saw it as a way to finally face his role model. He saw it as a friendly battle between teacher and student, not a fight to the death with a Yonko. Law, on the other hand saw it as a fight to the death and wishes to see Shanks dead. This makes more sense because in the chapter announced the name of the Yonko, it wasn't revealed by Oda. He just showed Luffy's excited and happy face. Almost an excitement of beating his role model.

Of course, Luffy may run into another problem here and there, but their alliance will stay until they meet Shanks. Law promised not to betray Luffy, but with Luffy stopping Law from dealing the finishing blow, Luffy could technically betray the alliance, leading to the battle between them.