Wasn't that what the Separatists were trying to do under the leadership of Count Dooku?
Yes. Not all of the Separatists were evil. A good number of them had a good reason to confront the Republic. Even Padme had realized this by "Revenge of the Sith". By serving as leader of both the Republic and the Separatists, Palpatine - through Dooku and the Jedi Council - managed to control the entire situation for his benefit.