How is any elected official, that is elected by the constituents of a district, not representative of their beliefs? Isn't that one of the core principles of democracy? The majority of votes selects the winner? If someone is running in a district and its half black, half white, you aren't going to get a win by David Dukes or a win by Al Sharpton. Anyone that wins the district will have to moderate their beliefs so that they get the majority of votes, at which point, they will be represent the wishes of the majority of voters in that district.
So I guess I am at a loss here for your argument. Are you trying to say that a district's representative should represent something greater than just 51%? Is there some threshold that you expect? 70%? 80%? 90%? Because thats all gerrymandering does. It increases the percentage of shared views amongst constituents for a given district represented by that representative.