I think interrogating those differences can help you either find out if they are borne of "nastiness" and ignorance, or if there is actually fundamental difference in values that should be explored.

E.g., Someone could assume a person is against voter ID simply because they want to disenfranchise specific groups or they can legitimately be concerned about fraud. If we just assume the former, it misses any opportunity to make rational arguments about the claims of the latter.