To their credit, perhaps they believe in supporting yourself and your family. Perhaps they do not have a culture of entitlment, one that expects things to be handed to them because we somehow owe them something.
For an immigrant to "become Americanized" is to reject the role of the extended family as the primary institution of both "care" and social control.
To "become Americanized" means to adopt the welfare state mentality and Hollyweird morality.
To "become Americanized" means your daughter will become like Britney Spears.