While I agree that Andery would not have had the strength of will to bind the clans together, I get the feeling had he survived in Nick's place the clans would have been less antagonistic.
The way I see it, Nick played them off against each other. He gave them a common goal in Klondike but even then his," which clan earns me", trick was as much to keep them competing as it was to get them motivated.
Andery was far more perosnable, from what we get in the books. While this did not mean the others respected him, they did seem to trust him. Andery was also more open to cooperation. He would have built the clans as individual parts of a machine rather than seperate machines working towards the same end. Not by force, but by convincing the other leaders they would be heard and treated as equals.
Remember the Clans are supposed to be a meritocracy within the various castes. As someone without preconcieved notions, Andery would have been, in my opinion, more likely to fall back on that meritocracy. Get the best people in place to do their jobs and treat them like they have earned the spot. I am sure the Grand Council would have been just as divided, but without the press to prove themselves against each other, with clear goals set by someone willing to take input, there MAY have been less animosity.
Plus another thing I think Andery would have been able to do is keep the senseless fighting to a minimum, the Blood Spirit/ Burrock feuding for instance. I am not sure why, but I get the feeling he would have handled this differently.