Historically, in civilizations:
- a culture without infrastructure is like a ghost, a soul that wanders through eternity with no body (think Byzantine Empire) 
- infrastructure with no culture is like a machine -- what is that? I'd say something akin to the Soviet Union, but even that had culture itself. Or  the Cultural Revolution could also be seen as an attempt to reorient culture and infrastructure toward a new vision, but - once again, it isn't that it didn't have culture, or a soul - just something radically different than what was before

Oh right i almost forgot -- infrastructure with no culture is 2000s/2010s Internet technology behemoth companies

creating and destroying; flying cars, roc.camera, july.rocks