If we beat the Chinese somehow, I don't think they'll just dismantle their space program and focus on Earth. They'll keep going, and they have the economic base to expand their program.
I think we're seeing the beginning of a new kind of space race. It's likely to be much longer term and grander in scale over time, as we compete for the best spots on the Moon and the first human landing on Mars in the decades to come.
So if US ends up beating China on this, it will all depend if there's something feasible to do next. I'm under impression that everything done in this new space age so far is just a re-do with the cheaper and better technology. SpaceX reaping that but I am not sure if there's any drastically better capabilities. Can't wait for humans on Mars however I don't expect this to be anything more than vanity project.