What Questions Would You Ask to Engage an “Agnostic Atheist”?

Questions about how to engage someone who calls himself an “agnostic atheist” and how to deal with a parent contradicting you with heretical theology while you’re teaching students in a confirmation class.

• What tactical questions would you ask to engage someone who calls himself an “agnostic atheist”? 
• How would you deal with a parent contradicting you with heretical theology while you’re teaching students in a confirmation class?