Actually the genuinely barren, hazy nature of most radical irhabi literature makes clear that few of them have any real idea of what a true Islamic state would actually look like. Even comparatively sophisticated Muslim Brotherhood ideologues tend to get very unspecific when they have to detail exactly what they are fighting for as to opposed to what they are against, which they are very good at. Radical irhabism/jihadism is a bit different from Soviet or Chinese Communism in that it is principally a revolutionary doctrine, proclaiming that so-and-so is against Islam, against Muslims, out to destroy Islam, steal oil, oppress, etc. but getting quite sketchy even when dreaming their ideal state, much less the nuts-and-bolts details. Even the Maoists had land reform. A better analogue for irhabism/jihadism is radical anarchism, IMO.