Well, I agree, in essence, but conservative thinkers wouldn't say that's true. They have convinced themselves that they are also trying to bring about a "we" society by insisting that everyone pay his own way and never ask for or need a hand up.
I appreciate you trying to present a more realistic view of the conservative view, but this still needs a bit of help.
Conservatives tend to believe in offering a hand up to those in need. In particular, we believe the human connection makes such help far more effective than help offered by the state in the form of an entitlement. That was part of the idea behind Bush's "faith-based initiatives" push. We see the state as a suboptimal vehicle for social services, especially the federal government with its powers limited by design in the Constitution.
Most of them believe in a capitalist society where anyone can create wealth and where there are few obstacles in the way of that and that the successful should not be required to help out the less able unless they want to (or see need to, such as prventing the masses from storming the gates).
This part is pretty good (thanks!). We think forced charity isn't charity and so object to compelling it by the force of the government.
Unfortunately, what they are willing to share is never adequate to create a decent society by any definition.
Huh? Now you've lost me. We achieve a decent society by ... forcing people to give up stuff to others? Isn't there something indecent about that? This isn't Robin Hood returning exorbitant taxes to those in need. This is simple thievery.
If taken to its logical conclusion a pure capitalist economy creates societies where the wealthy live in gated ivory towers, the masses are starving, uneducated and dying in the streets while the wealthy buy protection for themselves--and the police forces are owned by the wealthy and do their bidding. That's what a laissez faire capitalistic society would look like and it's not one I would want to live in. I don't think American capitalists really want such a result, but they are willing to push it to its limits because they have have convinced themselves that in a capitalistic society, everything will fall nicely into place and the worst case scenario could never happen.
We think the robber baron is the exception in the United States, outnumbered by successful people of genuine good will. And we think that a welfare state will help bring U.S. generosity down to the levels we witness across Europe.