Note: The following is an attempt at empathy, and I welcome people's opinions on whether or not it is successful. It is NOT an expression of my own opinions, or what I believe to be the truth.
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If you addressed this question to a Mail journalist, I really don't think they'd understand what you were talking about. Not out of stupidity or ignorance necessarily, but I honestly don't think they'd see it as a problem or indicative of anything. All journalists have bias to some degree or another - they have to have some criteria to decide which stories to report on and which not to. All papers also need a reason to justify their position in the market place - if you reported on news in a truly neutral or objective way, then the only differences between newspapers would be stylistic. They'd also likely be much heavier.
So if bias is necessary just for practical reasons if nothing else, what's the kind that Mail journalists deploy (or believe they do)? The answer is that they're keenly aware of majority-minority issues because the idea of a simple, straightforward, no-nonsense democracy appeals to them - the one where the majority rules, and it's as simple as that. It's fundamental to their politics. What they'd say their concern is, is the prioritisation/'special treatment'/over-protection of minority groups, which they see as pervasive in media, politics and society at large. They believe this over-protection is extending to people actually obfuscating truths about minorities in order to present them better - hence Jan Moir's comments about the 'happily-ever-after-myth' of civil partnerships. This kind of thinking is something that you'll have encountered very often, day-by-day, because it's fairly intuitive, and therefore fairly common.
Mail journalists, then, see themselves as redressing that imbalance - the ones who tell the truth. They're the ones who buck the trend and refuse to jump on the bandwagon. And that's why they make people uncomfortable, and that's why, secretly, they like it, and why that just makes them think they're right.
That, in my opinion, is the explanation for their attitude towards minorities.