I don't believe that's a fair assessment of how conservatives think. I would agree with you in part, but I think a more accurate description of the conservative mindset is that successful people got that way in part by being smart, working hard, sticking with their goals after experiencing failure, and not giving up. I've known a handful of wealthy people who had financial independence by being born into it, but I've known many more that got that way by working for it, and spending many years of their lives in doing so. Persistence is as much of an element of success in the conservative (and libertarian too) mind as anything else, if not the most important. I don't really see how morality has a direct effect on a person's success.
The poor are that way for a reason. Either they're down on their luck, are incapable of effectively taking care of themselves, or are satisfied living off public assistance. There's no way to legislate luck, so getting around bad luck takes persistence in trying to better one's self. People incapable of taking care of themselves should always have public assistance to help them at least have a decent quality of life - I don't think anyone here, no matter how conservative they are, would deny them that. When it comes to those who are satisfied doing nothing but getting by on welfare, their assistance should be limited so they are eventually forced to go out into the workplace. There are plenty of grants and guaranteed student loans that will assist them in going to a tech school, trade school, or community college. They have all the same opportunities that a typical American working class person has in getting ahead in life.