"government getting out of the way" is irrelevant to "greater good."
but the conversation about how to achieve the greater good is absolutely relevant.
It might be beneficial to "individual achievement" in some cases, but it does not inherently make "greater good" more doable.
nothing makes greater good more doable, including government solutions.
You and others say you hate government, but what you hate is government that doesn't work.
I personally hate pervasive government and the pervasive kind definitely doesn't work.
It worked when we defeated the enemy during WWII. It worked when we sent a man to the moon. When we developed satellite technology. When we developed the basis for the modern-day Internet (spare me the Al Gore jokes, please), when we gave all americans the right to vote, when we built bridges and interstates and airports, when we funded research to cure diseases, etc.
Most of the list is simply government funding of privatized operations. Gov't doing war is its function and I'm proud of it there. It did that exceedingly well in Iraq, too. Sending man to the moon has done nothing for the greater good. Satellites matter. Right to vote is simply the belated recognition of a right that should have existed from day one. That's not good gov't. Rest of the list is primarily private activity, especially cures for diseases.
Take it away, and I guarantee the "greater good" would not be better off. Individuals on their own can only do so much. Resources pooled can do the extraordinary.