@Jabberwok:
Just because Kuzan isn't working directly with the Marines anymore doesn't mean he wants the world disrupted. He doesn't have to be in league with Sakazuki just to pass notes and say, "hey, shit's about to go down. You might want to get ready to help people." As much was made clear in the same chapter when Kuzan tells Smoker he's still the same guy.
What you say is very reasonable. After careful reconsideration, I discovered that the idea of Aokiji working with Akainu appears inconsitent with the facts. I take back what I said about his affiliation with Akainu. Thanks for the helpful argument.
When Kuzan was talking to Smoker, he told him that there are many things that become clear after leaving the marines behind.
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The way he said it was like he has completely severed his ties with the marines. If he were working with Akainu, that would mean he was lying to Smoker there, which I don't think is the case because he truly considers Smoker his 'friend'.
@Jabberwok:
He's saying that very angrily though. With context, it's clear he's merely deflecting blame from associating with Kuzan, now a known criminal. He's basically saying that Kuzan isn't his responsibility.
Regarding Akainu's anger, this is how I saw it: I thought that Doflamingo's use of the Celestial Dragons to spread false news ruined his mood, so he was talking grumpily about everything. I agree with the rest.
@Razh:
Well, you don't just drop the info that a big name like that is working with BB and not give him an important position.
@KageKageKing:
http://read.powermanga.org/read/one_piece/en/0/793/page/x.rafomedia.compage/x.rafomedia.compage/x.rafomedia.compage/x.rafomedia.compage/x.rafomedia.compage/6
Either they misunderstand the situation regarding Kuzan or we can assume he is either an captain or part of someone's ship.
When Gats was speaking about the '10 captains' that support Blackbeard, he was certain of the tenth captain that supports Blackbeard.
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If Kuzan is one of the ten captains that support Blackbeard, that would mean that his notoriety as a 'pirate' has reached even the knowledge of someone like Gatz.
When Jimbe was talking about Kuzan, he said that 'he did not know what has become of Aokiji'.
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If Aokiji is one of the ten captain, this fact should have reached Jimbe, too.
When Doflamingo was about to leave Punk Hazard, he angrily asked Kuzan about "what he is", and then he said that "he hasn't heard good things".
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The "bad" things that Doflamingo "heard" about Kuzan appear to be related to "what he is". That is, his position in the world. If he had been captain of the Blackbeard pirates, his notoriety as a pirate would have been an established fact, and either Doflamingo would not be saying such things or his speech would be practically nonsensical.
While Doflamingo was leaving Punk Hazard on Buffalo's back, he said that the face of a 'wanderer' and a 'man with resolve' are quite different.
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If Kuzan is a member of the Blackbeard pirates, do you think Doflamingo will refer to him as a 'wanderer'?
When Burgess was talking with Teach about Aokiji, he was making objections.
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Their discussion could be about the choice of whether or not they let Aokiji be a genuine member of the Blackbeard pirates because the way Burgess was talking seemed like he is opposing a decision that is about to be made.
If the choice about letting Aokiji be a captain was done by Teach some time ago, objections of that sort shouldn't be happening. If they happen to be done, they should be appliable to both Shiliew and Kuzan because they both would have been sharing a past of working under the Government, and they both would be captains under Blackbeard's flag.
What King Cannon said is reasonable, too:
@King:
He seems more like an ally under Blackbeard's flag.
Although what I personally think is that he is just lending his power to Blackbeard, and that's it.
@King:
After all, Smoker treated his involvement with Teach as a rumor, even though the 10 Captains seem to be fairly well-known.
While I do agree with what you said about the notoriety of the 10 captains, I couldn't find what you said about Smoker in the manga. If you have a source, please share it with us.