While heaven isn't a reward for reaching a certain quota of good acts, you won't get in unless you have a relationship with God through which you can be renewed. In having that intention, he has already rejected the kind of faith that is needed for salvation. Strictly speaking, heaven isn't even a reward for having faith. It's not that God is rewarding you for faith and punishing you for not having faith. Rather, it's that God uses a certain kind of relationship in order to make you fit for heaven.
Faith is a key part of that relationship.
If you're sloppy about building a bridge it may fall down. Nature isn't consciously punishing you. It's just the way the universe is built.