Mayn the hokages can't win this.
Hashirama<Deva path, preta path, animal path. Hashirama's ninjutsu will be absorbed by prete path, deva can also repell his jutsu or just cho shinra tensei him, or chibaku tensei, animal path will summon spam hashirama, cerberus dawg keeps splitting and doesn't die, gaint boss level summons attacking at high speed. Shared vision will make their teamwork almost unbeatable without prior intel and even with intel. I personallyu believe that hashi only beat madara because of the fox, madara just messed up by bringing the fox with because hashirama probably just took control of the fox and used it against him, madara overestimated his ms control of the fox over the mokuton control I think, besides madara didn't have the rinnegan at the time they fought. Pain can also share vision with animal's summons so the chameleon summons will hide and the give extra vision and the bird summon stays in the air and gives a bird's eye view of the battle. Hashi can't win this.
Tobirama< white zetsu's one hundred thousand clone army and black zetsu who held his own against mei, chojuro and the fourth's bodyguards, and human path will take care of him. Tobirama can't summon more than two edo's so it will be three against 100 003, Tobirama was killed by twenty kumo shinobi, he can't beat zetsu's army and black zetsu, plus human path can remove the souls of the edo's after white zetsu catches them with his sporalisation no jutsu.
Sandaime Hokage < Itachi and Konan. Itachi and Konan are just as smart if not smarter than sarutobi in battle tactics. Tsukiyomi can only be broken by an uchiha with the sharingan according to Itachi, sarutobi has no speed feats, not fast enough to avoid amaterusu. There is also the weapons of the sage of the six paths, yata mirror and sword of totsuka, how will sarutobi penetrate the yata mirror and the totsuka can seal him, and then there is also the yasaka magatama, the only dangerous jutsu we have seen from this guy is reaper seal and I'm sure Itachi is faster then him and can avoid him from subduing him, besides he would have to get past amatersu, tsukiyomi, yata mirror, sword of totsuka, and sasuno'o to do that, won't work. Konan not really needed in this battle, just added her to avoid saru fanboys denying Ityachi victory, Konan will spam him with explosive paper clones while she flies out of his range, explosive shiruken tags or the paper messenger of god technique with six billion explosives.
Namikaze Minato =asura path,Hidan, naraka path, orochimaru, orochimaru summons two edo's and naraka path summons the demonic statue of the outer path, asura spams laser and missiles, naraka and asura shared vision pawns. Hidan plays possum when Minato stabs him and takes his blood when he aint expecting it, Naraka will also revive the others if they die or fix Hidan up if he gets dismembered.
Tsunade < Kisame + Loyal samehada, let's face it, tsunade lost to pre time skip kabuto, she can't hope to even challenge kisame with samehada, she's also a slow ass and will get quickly drained of chakra or outright shredded, giant buble shark dance will pawn her or great shark jutsu that absorbs all chakra to get bigger and stronger will pawn her and katsuya. She has no chance. Plus kisame can turn the battleground into an ocean and pawn her with shark summons or five man eating sharks that regenerate, plus even if by some fluke she got to punch kisame with her monstrous strength, kisame won't die from that, he pawned Gay's 7 gate afternooon tiger and was still able to fight and move after that, and that was without samehada, whereas samehada will just fix all his injuries like he did when killer bee ripped out his insides. Tsunade has rebirth regeneration too but you need chakra to do that, samehada will remove all her chakra, he can take six tails worth of chakra at a time.
Danzo < Kakuzu and Sasori, sure danzo can use izangi like ten times before he can't use it anymore, but the thing is that he is easy to kill so killing him ten times aint hard that hard, besides, kakuzu has five lives and sasori has like hiruko, hundreds of puppets, plus the iron sand and magnetic fields with the sandaime kazekage and one poison sting is like one izanagi eye, he won't survive long, he's too immobile and slow, which is why he got hit him so many times, kakuzu's masks will pulvalrize him and sasori's puppets and poison.
Akatsuki win hands down, but I will admit to being somewhat biased, for one, I don't know how the hell asura, naraka, hidan, and orochimaru will hit minato with his rediculous hirashin and speed coming into play. Minato could also summon ma and pa and hit them with frog song, seal them with the four elements seal, he can certainly kill asura and naraka even with their shared vision because of his speed and oro can lose control of edo's because of contract seal, and can be sealed too with four elements seal.
If we have to put people at their peak, then I would also say Hashirama's peak was when he had control of ALL the nine bijuu, and that wouyld change the battle drastically, although nagato's outer path can also rip control of the bijuu and Itachi's mangyeko could take control of a few, since Hashirama's control over the bijju would logically have to be limited if he tries to use all of them at the same time, still though, he would have an advantage I think.
Danzo also has KA, if he uses it on Kakuzu to make him attack sasori, it could help, but once again Itachi has shisui's eye in his possesion too, and the seven paths of pain have chakra disruption rods to remove the jutsu.
Even if the paths are defeated, Real nagato can join the scene and we know that the jutsu are stronger when he is the one using them.
It is probably tighter than I made it seem to be, but I still think akatsuki wins, the numbers are just too much against the hokages.