Is it permissible to accept money from an infidel father who earns his money from gambling, and for him to buy me a car and a house with it?

You must be gentle with your father and invite him to prayer and repentance with kindness and gradualism. It is better for you to refuse the ill-gotten money your father acquired, due to its dubious nature, perhaps Allah will guide him through your abstinence from it. However, if you are in need of money, or if refusing it will lead to estrangement, then there is no blame upon you for accepting it; because the unlawfulness of money pertains to its earner, not to one who benefits from it through a permissible means such as a gift or an allowance.