no, i don't think so, but i think it will "accompany" USD more like now, and it will become more and more popular
But why exactly? I don't think that it is logical for you to think that bitcoin and USD should always be "good buddies" and that is the only way that bitcoin will keep thriving and keep gaining in its price and value.
It is exactly the opposite, to achieve widespread adoption, you actually need USD to collapse and then bitcoin can take over.
They can be good buddies as the state will just declare that bitcoin is going to be another medium of payment or currency. But it can't be the primary one for USD will be always on the top. It is just kind of alternative way of paying and by using it a lot of opportunities will come out but still it is not going to be possible that bitcoin will replace dollar.