America's aversion to the role of luck is based on the Protestant work ethic. There is no chance and everything is predetermined by God's grace. God's grace is demonstrated by hard work, frugality, and discipline. There is a concept of double predetermination where you already need to be saved to be saved. Which means the poor is poor not because of chance, but because they lack God's grace.
Good acts don't guarantee you a place in the afterlife - they stand alone, whole in and of themselves, giving them a moral dimension outside the bounds of faith. It's not that your fate is predetermined, which it is, but more importantly, you don't KNOW what the predetermination is.
I won't digress since I don't know if HN is a good place for a discussion of the metaphysics of predestination, but it's something very interesting to think about.