How would that work, though? It sounds like guaranteed arbitrage? But does arbitrage work as a trading strategy? I thought markets quickly become too efficient for that?
"Because it inconveniences you" is not a good reason to break up companies, imo.
Maybe those small businesses will learn that Facebook is not the best option. There are other cheap ways to get a web presence. Facebook is not even a web presence, as it is a walled garden.
Also, how would you even break it up? A separate "events platform" would be pretty useless without the Facebook social graph. What would be the point? Just plain disallow Facebook to have useful features, making things more difficult for people?