It does comlicate the process.
But, at some point MSFT will realize that they are out of runway and begin to make concessions to avoid break-up. The states unanimity of position will at some point begin to crumble. No one will proclaim that a MSFT break-up is a goal in itself. Only the goal that MSFT end certain illegal monopolistic practices and begin other practices or actions, e.g. no bundling of products, no pre-announce of products, public disclosure of interfaces, etc.
After a majority of states gets it's pound of flesh, the rest will fall in place. Perpetual bickering would only help MSFT because they could continue with their behavior.