The real Cincinnatus seems to have been much different than the legendary one, but the legendary one is who you mean, here.

It's possible to find some parallel in the legendary Cincinnatus' opposing the rights of the Plebs and George Washington's suspicion of government by The Mob. But the essential appeal of the legendary one was that, after being granted dictatorial powers in order to win two wars, he went back to his farm when the wars were over. This was in contrast to the many Roman emperors who got to power by force of arms and stayed there. That's why George Washington was called The American Cincinnatus after he finished his second term and went back to Mt Vernon, instead of becoming president-for-life. The first US veterans' organization, The Society of the Cincinnati, was quickly criticized by Ben Franklin and others for showing signs of being an aristocratic order. But the appeal of the legend was the same: instead of taking power after winning the war, the officers and soldiers went home to their farms.

This might seem rather simple. But managing, transferring power peacefully has often proven to be quite difficult to do. Once someone amasses power, they often try to keep it. One of the big moments in US history was when George Washington went home: he could have pretty easily served more terms, if he'd wanted. A similar moment was in 1800, when the Federalist party in power lost the election, and handed over the government to the Democratic-Republican party , with John Adams handing over the Presidency to Thomas Jefferson. The Federalists could have dug in their heels, and Adams could have refused to leave office. But they did not.