The space program was an early customer of integrated circuits, along with military customers, but IC's would have been developed with or without NASA and the DoD, just a little slower perhaps. This is characteristic of such organizations - NASA and DoD have actual applications for advanced technology and have big budgets are willing to spend big bucks to develop and then purchase state of the art technology when there is an advantage to doing so.
But the merits of NASA are not really in the follow-on technologies developed. If you spend billions per year on R&D you'll get some technology out no matter what.
The true benefit of space exploration is just that - the space exploration. Finding out about our planet, our solar system, the Universe, and where we came from and where we fit in as a species. Setting foot on the moon. Traveling to Mars in the next decade or two (probably). Considering establishing civilization on Mars. These are the true benefits of space exploration, the rest is just icing on the cake.