That's not a bad suggestion. We could give it a try.

[There's no guarantee anyone's going to give their honest answer, of course, but perhaps they could gather information that way?]

Then we could share what we did. Since I brought up the question, I suppose it's appropriate I start.

I didn't vote. I abstained, on account of...having made less than wise decisions in the past. I thought I should think it twice before voting. In hindsight, that was not a good decision either.

[Now that she revealed her own thoughts, maybe you could do it too?]