They very nearly did. Romulans found another way to build their society.

Enterprise explores Vulcans who have rejected the teachings of logic and emotional control, and one of them end up mentally raping T’Pol.

There have been mentioned a huge exodus, or multiple exoduses away from Vulcan, where those that rejected the philosophy of logic wanted to start anew somewhere. Romulus is the only succesful world as a result of that past.