Will Soon The Eggs Take Over?

Today at breakfast it hit me: What if eggs tried to take over the world? Isn't that a terrible danger? Aren't we all in mortal peril?
But then I thought about it, and now I'm not so sure if the eggs will ever even succeed in an attempt to dominate the world. Here's why:
As soon as the eggs gain power, they will first of all want to enslave the chickens, to make new eggs and offspring. The chickens won't care, they're enslaved already by humans, and if you're a slave, it doesn't really matter who your master is, they might even be better off, because eggs won't eat chickens.
But then, and that's the problem, sooner or later all the eggs will evolve into chickens. Then the masters become the slaves, who will create more masters - it'll either be a terrible paradoxon, the kind that fucks up the space-time-continuum, or a giant circle, that will work. But I think it won't work, because the offspring of slaves will usually not be emotionally fit to become cruel masters, knowing slavery and all. So after a while there will be masters, who don't really want to be masters and instead go for democracy or something, and then the whole world domination thing will be over with.
You might say, what if the eggs just make sure they won't evolve into chickens, just by keeping male and female chickens seperated. Yes, that will interrupt the reproduction, but also the chickens will get old and the eggs will go foul. Old chicken = less eggs, foul eggs can't rule, ergo no world domination.
Then you might add, what if there's just a small amount off chickens allowed to produce eggs, and those eggs will immediatly be educated to rule by a small group of eggs, an egg-elite of masters? That won't work either, because sooner or later all the other chickens and eggs will die of old age or decay, and then the dictators will have no people to rule, and, more importantly, no army to use against all the other lifeforms, thus, no world domination.
I must therefore conclude, that the danger of eggs taking over the world is pretty small at the moment, we can sleep in peace at night, we can keep eating eggs and chickens for now, all is well.