As I said earlier I do think that Doflamingo landed on island already- during party- but he knows same as we know that he cant take on Strawhats(Monster Trio together can fend off/defeat an Admiral I think), Law, Smoker+G5 marines. Crazy doesnt mean stupid and he is not Whitebeard. So I think that first thing for him might be to wait a little for perfect moment to take hostages or he can just go to SAD room, put Vergo back together and attack with him after groups will split, simply part ways so to say. I would do it this way

We did not get any serious, long fight in New World(Smoker vs Law wasnt a fight for me but rather show off) so its perfect moment to show glimpse of how dangerous this all "Take down Kaidou plan" is with fight that will make monster trio use almost all of their strenght after two years of training just at beginning of that plan.
Luffy saying that he will beat up Emperors with smile on his face is.. Umm.. he is who he is so, he saw a lot during war.. He is cocky, thats a bad thing for me but I do think that he has beaten Rayleigh after 1,5 of training they had and thats reason why Rogers first mate left him for half of year alone on that island, saying that he dont have anything more to teach him. This would somehow explain why Rayleigh who fought all kinds of people during many years on Rogers ship says to Luffy.
"Go straight to the top".
When it comes to Zoro and his "level". He trained for 2 years with someone who for me is "Perfect Cell" of One Piece- Dracule Mihawk. People like to say that Mihavk isnt that great because he did not "own" Vista who whas "just" one of Whitebeards commanders and all I have to say is that Mihawk isnt all about power but I imagine him as perfection when it comes to technique, not "own everyone who doesnt seem Admiral level fighter in seconds" type of monster. Same with "who is stronger Shanks or Mihawk?

" discussion. Zoro did not defeated him but surely closed the gap between them.
As for Sanji he had his two years in Hell. Literally. He shown amazing willpower staying a real man after two yers with monsters. When he was taking challenge from Ivankov it was show that Iva had one of 99 recepies in his hand so he was one of fighters that Sanji had to defeat in order to get all 99 recepies or at least make him give up last recepie. As it was shown last chapter he became fantastic cook who is one of greatest assets in crew, he is somehow helping Chopper with recovery of crew after each big fight. If anyone says that Sanji had his leg damaged after all that training he is right, Sanji underestimated Vergos hardness but just wait and see that Vergo will be said to be Metal paramecia Devil Fruit user with armor Haki on legendary level praised by people like Doflamingo, Cesar, Smoker etc.
And as ending to my post @Poneglyph420 - about man from the shadows- just look at Razh posts

last 100 of them
