Would this lead to the financially successful having to support the finacially unsuccessful for the sole purpose of breeding?
I don't see how.
Or would this lead to a crash (not in population) but in the value of money?
No, I think a crash in the value of money would be what pulls the rug from under the whole scenario.
Would it depend on how much importance a financially succesful person (in general) valued money (their own comfort) over the continuation of mankind?
What the whole thing would depend on is if the financially successful produced a lot of children, and their financial success genes, if such a heritable trait exists, is passed on.
I have to say that I don't think there are financial success traits that are separate from other abilities. If someone is shrewd, and can figure out a given system to make it work very will for him/her, why couldn't they apply that intelligence to persuits like food production?