What's left to be dissolved?
The aristocracy (destroyed utterly by the Ottomans IOTL), clergy (purged of men capable of leading and subjected by the Ottomans, but otherwise left in tact), the military (approximately 1,000 regulars by the fall, obviously destroyed), the imperial family (only allowed to return after giving up all claims to the throne, converting, and surrendering all assets that were not controlled by the sultan), and many major Greek population centers (Constantinople being the most prominent, as the people were slaughtered and replaced). Of course, they also stopped the usage of Greek in the government, and introduced the jizya, including the right to conscript and forcibly convert the children of Orthodox, so they not only removed the old state structure, but added new entirely foreign elements as well.
In mine they are conquered without serious fighting, by another Orthodox (using the term loosely) power, using a dynastic claim. Greek remains the language because most of the other Balkan nations did not have as developed or prestigious languages at the time. The military is dissolved except for the palace guard. The royals are allowed to stay so long as they acknowledge the new regime, and if they don't they are driven out, but there are no preemptive confiscations of property. The clergy is attacked to some extent, but not to the same degree as Mehmed II decimated it. Most importantly, citizen deaths are minimal, and Constantinople is still primarily Greek.