No, we wouldn't be on the moon. We'd be in the asteroids, mining them for resources. We would probably be colonizing Mars as well. There might be some presence there (on the "dark" side, for astronomy), but unless there was some compelling reason (like if regolith really has a high density of Helium-3, and a workable He-3 fusion reactor was developed), there probably wouldn't be much of a human presence there.
Of course, it would have far exceeded what was done with the Apollo program. We'd probably be spinning off colony ships to the far reaches of the Solar system using a high powered space elevator by now. Government regulation has really slowed both technical and scientific progress.