You know, I remember a time when the whole "villains don't think they're doing wrong" thing was new to me, but I've heard this repeated SO MUCH in so many different arenas over the past 20 years or so I think it's becoming a cliche if it's not already. These days I find it refreshing when it's the second part of what you said, that they just don't care.
It's not a cliche, it's human nature. "Villain" is a subjective term and the fact is that most of the real historical villains thought they were in the right. It's that kernel of morality (warped or otherwise) that keeps them from being 2-dimensional. They think they're working toward an improved society or life, and accept that to rebuild things have to be destroyed first.
It's leadership, skewed. A fictional villain, like a hero, tends to see in black and white, only they aren't shades of good and evil.
"The world would be better if my rules were followed. If I kill those who disagree, then others will learn to obey. When everyone obeys, there will be peace."
"If I decrease the population of the world by 2/3, then there won't be such a strain on the earth, or resources, and disease and pollution caused by overcrowding will vanish."
"Statistically this group causes the most crime, therefore they are bad."
"I am smart enough to see the problems those in charge have overlooked. I'll make them understand that so they will listen to me and fix a system that doesn't work."
"If no one will listen to my warnings about [insert regime/facility] having a flaw, I'll export the flaw and prove it. The money I take from them is a worth while price to pay for my service."