I'm not outright against some manned missions, I just don't think they should be our top priority and shouldn't crowd out robotic exploration of new places. A manned "space race" is unlikely to get us much relative to other options.
In addition to the robotic missions I mentioned, powerful telescopes that can detect and do spectrographic analysis of planets of other star systems would be far better science than more manned missions to local rocks. We could detect another Earth with clear-cut life signs, for example. That would be a bigger discovery than simple microbes on Mars (which robotic sample return missions can perform).
There would be no Saturn V, no Falcon HR etc.
They are cool in the "wow, big!" sense, but maybe we don't really need them right now.