We're going back. Why not together?

So we (The United States) have decided to go back to the moon. I'm all in favor of that, but the why bothers me. I have a feeling that the only reason we are really going is because of the New Space Race. The Chinese, Japanese, Indians, and heck, for all I know, the Venezuelans and the New Zealanders are planning missions to the moon. We tried a space race last time, and it was not without casualties (most on the Russian side, but we did loose a few). Why can't we put aside our differences and go together this time? I would think it would save money, and probably lives. I know it is a "national pride" thing, but we got together on the International Space Station, and that almost works. Especially given the proclivities of the current administration, I doubt that we will make international cooperation in space a high priority any time soon.