MISTAKE -> FOR
mistake someone for someone to think or assume that someone is someone else. *I'm sorry. I mistook you for your brother. *Someone has mistaken me for a famous movie star.
mistake something for something to think or assume that something is something else. * I think you have mistaken the appetizer for the salad. * I would never mistake a snake for a stick.

CURE -> OF
cure someone of something to rid someone of a deseas, ailment, bad habit, or obession. (Someone includes oneself.) * I hope that cures you of asking too many questions. * Will you please try to cure yourself of your constant interrupting?

cure something of something to eliminate the cause of a malfunction in a machine or a device. * I think I have cured the stapler of jamming all the time. * I can't seem to cure the committee of procrastination.