I just don't think it's a good comparison. What they did in the 60's was amazing, but they spent an insane amount of $$ to pull it off. Cost basically wasn't a concern. I think we could have gone back to the moon whenever we wanted if cost was no issue.
What SpaceX is attempting to do is make a rocket that can go to the moon or Mars and be 100% re-usable. It'd be like trying to make the Saturn V completely re-usable, but it's even larger and more powerful.
Getting to space is still extremely difficult. I would argue rocket technology hasn't actually changed that much, The computer systems guiding everything has, but the propulsion method is still the exact same, so there are limitations there. You have a fuel source + oxygen burning to create a high pressure exhaust that is expelled through a nozzle resulting in thrust. I think there is only so much we can do until some physicist comes up with a new way to propel a heavy mass in space.
How many entities in the world can launch a significant amount of mass into orbit? A dozen? The entire continent of Europe working together can't pull it off yet.