It's possible I'm not following you so I apologize in advance if I'm not-- but if I understand correctly, I think most honest conservatives would strongly and vocally agree with you on the clean slate thinking. Maybe there are a lot of conservatives who are hypocritical in their practices vs thinking. Or maybe they just have different reasoning or possibly flawed reasoning in how they feel it best to come to that point. But I think most conservatives would heartily agree with what you've said here as phrased.
I would also say that while I agree the issue of inherited wealth has its roots in racist behavior, either lawful or means that circumvented law, that issue today does not discriminate. If I had to guess, I'd say this: most rich people are white, but most white people are not rich. I know I'm not.
And sure, my own experience in anecdotal. My own personal dot on the grid does not represent the vast majority. But it is a dot nonetheless, and I know there are many other dots like me. There's more dots that represent black people in need, I understand. But I think the problem of wealth has become largely a function of class issues, even if it began as a racial one.
EDITED for grammar because I'm retarded