This is not even slightly correct - I was not asked for anything like this. Apart from the proper paperwork I took nothing to the interview except my wife, who is American by birth. The basic law is that you have to be married for 3yrs, or longer, for the green card to remain valid. If you are granted the green card before then it is conditional. These questions are only asked if the officer feels you have a marriage of convenience.
Overall the immigration process is very straight forward if you have a legitimate claim to the status you are requesting.