No, that isn't changing the system, that is altering the rules or players.
The system we have is a two party system with a political ruling class, a wealthy class, and everyone else. The fact that some politicians spend their ENTIRE lives in elected office just proves it. Our elected officials are never held responsible for anything they do. We can't remove them from office other then voting them out the next time, which is generally insanely hard to do, because people are stupid and they just vote for either who they are told to, or who they always have voted for.
Changing the system itself would require a change in government top to bottom, in it's type, how it's formed, how it acts, etc etc.
I do not think overthrowing out government is an allowed thing under the constitution. Hence, Illegal.