I don't agree that Cheney et al wanted to bring the Mid East in the 21st Century. I don't think they wanted to even bring them into the 20th. My understanding, from spare quotes such as were caught from them unawares, is that they wanted control of the oil before the Russians got it and "WMD" was the only argument they could all agree on.
I've heard the same argument, not that really effects the nation building ideal of the neocons, because it's all of the same objective. And groups like the neocons are always going to attract the Cheneys and the Bushes, who might have different agendas, but find the umbrella group useful.
The neocon website had been advertising nation building for 15 years before 9-11, and I tend to believe them, although I've heard other arguments, specifically that Bush's agenda was to destabilize the Mideast to drive up oil prices, but of course a family of oil billionaires would never want that, right?
There will always be enough unknowns about the disaster of the Bush Administration that we could speculate forever.