Do you think it would be possible to end up with two coexisting widely used currencies? One currency like you say, traceable and hard to manipulate and another

Do you think it would be possible to end up with two coexisting widely used currencies? One currency like you say, traceable and hard to manipulate and another that preserves the anonymity that bitcoin provides but with a lot more fluctuation in the price? (Not to say that bitcoin is untraceable, but rather, suppose a currency with the same ideals of anonymity the creators held when they created Bitcoin)