This is one which always makes me cringe: someone asks a question like 'Have you got ...' and the reply comes back 'Yes, I do' (or 'No, I don't'). You hear it all the time. Aaaarrrggghhh!!

It is the initial questioner who is at fault for using 'got' in that manner. (unless it means 'have you been to collect . . .?')
The question could just as easily "Have you . . .?" Such as "Have you chips?". To which the answer would be either: "Yes. I have (chips)", or, if the question was taken as meaning "Do you have ...?" then an answer of "I do" would also be correct.

In my opinion.