Agreed, pete from seven stars link.   I think that's an essential tenet of liberalism is acknowledging the slight possibility---however slight---that having our cherished ideas overturned might actually improve things.

So we keep our ears open........even as we argue strongly in favour of our cherished ideas and against some of those 'bizarre' challenges.

So maybe that's all that is meant by respect......that willingness to keep our ears (and, to go deeper, our hearts) open.